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Play 65 backgammon is one of the best online backgammon sites and is extremely popular. Continue reading to find out where Play65 superiors over its competitors plus learn about play65 weak spots. Play 65 on-line backgammon site will be analyzed according to the most important factors you should look for when seeking a place to play backgammon on-line:
Cost: 9/10. Rakes are becoming standardized but Play 65 is still generous with its sign-up bonuses and sometimes adds additional prize money for tournaments.
Money Transfer: 10/10. Easy to use and crucially includes Paypal

Board Use: 9/10. Simple clear and efficient and easy for the first time user.

Board Clarity: 6/10. Its only weakness – the board suffers in comparison to some of the newer sites. I have no doubt this will be upgraded shortly to meet the new standards.
Numbers: 11/10. The most popular site in the world with thousands of players on-line at any one time. You can get a game any time of day or night.

Export: 10/10. Simple export of played games and matches.
Fraud Protection: 10/10. As good as the best with constant refinements in progress.

Overall Rating: 65/70

Summary:

So as we can see at the moment Play 65 rakes extremely highly as befits one of the leading sites in the world. Backgammon is on an upward surge at the moment and I am sure we will see increasing refinements to on-line sites. The first site to have an effective on-line chouette will make a fortune. At the moment everyone is struggling to work out how to make a chouette work on-line but I am sure there is a way.
However, for standard play, Play 65 backgammon cannot currently be bettered.
And now, elaborated explanations on the essential factors must be looked at in an on-line backgammon site:
The Cost

How much is it going to cost you to play? The sites are not charities and whilst you can play fun games for free you will eventually want to play backgammon for real money. Sites charge by what is known as a their rake. The Rake is the fee that the sites charge per game or per match for managing the games. This fee is always paid by the winner for both players and can vary from 3 to 5%. Most sites charge more when there is a disparity in skill levels – this discourages better players ‘preying’ on weaker players

The Ease of Transferring Money

Money transfer in and out should be instantaneous from multiple sources and increasingly important is the ability to transfer funds to and from Paypal accounts as these are becoming more and more common.

Ease of Use of the board

How easy is it to move the checkers, double, undo moves, resign etc? It is important to be able to do all of these things quickly and simply.

Board Clarity

The clarity of the board is extremely important. Most boards are now represented in three dimensions rather than two and we have seen the emergence of different styles in the last couple of months.

Clearly differentiated checker colours and clean simplistic lines are becoming the norm.

The Number of People who Use the Site

It is vital to be able to get a game whenever you want against the type of opponent that you want. If you log on and can’t find an opponent you will quickly go elsewhere.

Exporting Games for Analysis

Once you have finished playing you want to be able to export your matches so that you can study them using gnubg or Snowie. Only by analysing your performances can you hope to improve so an export facility is vital.

Fraud Protection

We are all well aware that some people have tried to cheat using gnubg, Snowie or JellyFish so a site must have the necessary software to detect the use of such software. Fraud protection software is absolutely essential for any on-line backgammon site.новости с востока украины сегодня видеошины летние 185 65 r18посуда запорожьецщлкастрюли немецкиеЧехлыМужские кроссовкиsouth beach house for saleмаленькі ноутбукиapplication lifecycle3gкак подобрать аккумулятор для ноутбукадинамокупить резину goodyear 205 50 17посуда овсесезонныеноутбуки asusturkish translation to englishYamaha MCR-B142купить оптомbinary options websitebbw kuala lumpurwindow car covers for winterMinecraftNeo OKs скачать бесплатноигра doom 4geometry dash скачать на андроидчерез анонимайзер бесплатносайтgde-telefon.ruthe survivor rusty forest на андроидскачатьПрограмма для взлома одноклассников андроидбесплатнотутhitmanссылкасайтpoker-hacksimsVZLOMAT VSEпочтуcheatpackсеребряные сережки гвоздики купитьнакрутитьпоисковая раскруткаработа в яндексеlist of brokersseo что это

Continue to explore doubling

This week we continue to explore doubling. Black has just hit a lucky shot by playing 24/13* and white has danced. In the backgammon game from which this position was taken black redoubled and white very quickly dropped, outraged at the turn of events.

Backgammon strategy position
Backgammon strategy position

This is the first key lesson: emotion has no place in backgammon. If you start letting your emotions influence your decisions then you will lose quickly and often. Of course, this is easier said than done but if you look at any top player you will rarely see any display of emotion, perhaps a raised eyebrow at most.

Now let’s look at the position objectively using our criteria from the last position analysis article and evaluate both black’s and white’s doubling decisions.

Remember the four things to consider when doubling:

Race. White is 26 pips ahead before the roll. Significant advantage to white.

Position. Both sides have four point boards. In fact has black a 4½ point board and is threatening to make it a five point board. Any 6 or 4, a total of 27 rolls – enable him to make that fifth point. White is on the bar but note that black’s last checker has yet to escape. Overall, advantage to black.

Threat. Black has those 27 good numbers and so he has a significant threat. However note that if he fails to cover the blot white is favourite to enter and can then attack the black checker on his 1-pt (if it hasn’t escaped). Advantage to black.

Opponent. Remember that unless you are playing a computer you must take your opponent into consideration. How will he/she react to being doubled? Is he/she someone who drops takes or conversely takes drops? We have already seen that white did drop this redouble in the live game.

Also remember that the generally accepted view is that you should consider doubling if you are ahead in two of the first three elements and use the fourth element to help you make your final decision.

Here black is ahead in two of the three elements and we know that white may drop the redouble. It is crystal clear that in practical terms black should redouble.

What about the take/drop? White should analyse as follows:

• Even if black makes his 4-pt I will still re-enter immediately one time in three. With my lead in the race and my four point home board I am certainly still in the game.

• On the 9 rolls he fails to make the point. I get a direct shot on three numbers (55, 52 and 25) and I am also favourite to enter immediately. Given my lead in the race these nine misses by black are very good for me.

• The gammon threat is minimal.

• All in all I think I can expect to win at least 25% of the time from here.

• I take.

The Key Lessons:

Don’t let emotion get in the way of your ability to analyse for that way lies ruin.

Take the time to see if you can win the position (at least) 25% of the time.

Always evaluate the gammon threat.

Remember to use the criteria above to evaluate doubling decisions.

Backgammon strategy position

Backgammon strategy position

Snowie evaluates the position as no double and take but it cannot evaluate the human factor. In practical terms this is a must redouble. However, as we have seen it is a comfortable take and in fact dropping, as white did, is a mega-blunder. Beware those emotions!профессиональный набор кистей для макияжаинтернет магазин лнрМоноподbritish escort singaporeedgewaterпрокат авто в грузии ценыrealtor com in floridaadult service in malaysialuxury vacation rentals miami beachtradersтатьяна шашникоаspanish tobusiness objects tutorial pdfотдых в грузии турыsouth beachBinary Options forex deposit bonusтеатр березільалюминиевая посудакастрюля для каши с двойным дномкупить резинуtranslate norwegianкак правильно готовить плов видеоноутбук купкаokwaster.comбесплатноlanspyздесьskypeздесьMailCrackerplay-sims4.ruhack-solutions.orgvksaver-proтуткакVZLOM IOSсмотриЧит на невидимость для World of Warplanesскачать игру майнкрафт на андроидпрограммаvzlom2014.ruvzlomat-whatsapp.comтутбесплатностатусы2day.kh.uaBinary Options No Deposit Bonusцерковь духовного возрожденияprestigeoption binary broker

Backgammon Problems from 2009 Paris Open

By Robert Wachtel

Here are a few more problems this year’s French Backgammon Open. While previously, everyone in the group of strong players – except for Falafel – got it wrong, these positions have received the unanimous – and mistaken – consent of this seminar of experts, with most of us meekly following the leader when we sensed that a consensus was forming.

Paris backgammon problem 1

Paris backgammon problem 1

A trivial-looking little problem, which occurred early on in one of my matches. I was about to routinely make the 8 point with the 4-1, as almost anyone would, when I stopped to look around for something better. The race is close, and White has some attacking chances. Why not squelch them by buttoning up with 23/22 and then hit with 8/4 (which duplicates fours as well)? If you are missed, you will have a big advantage. If you are hit, you have an anchor and there is always White’s blot on the ace point to shoot at. Over the board I persuaded myself to make this non-routine play. Later, when I presented it to the group, every one of them (to my delight) agreed that 23/22, 8/4* was obvious. Here is how the two plays look:

 

Paris Backgammon Open 2

Paris Backgammon Open 2

Play # 1, 13/8

play #1

play #1

Play #2, 23/22, 8/4*

And then there was this puzzling one. It came up early in a 15-point match against the studious young Japanese player, Noriyuki Hosaka.

play #2

play #2

I hit and covered, the natural play, but I had some doubts. Afterwards I wondered what I had been thinking. Black is way ahead in the race with only one man back and White has a good board, so why take this risk? What is wrong with the simple 13/8, 7/3?

Indeed, when I showed this one to the group, my fears were confirmed. Immediately one of the world’s best backgammon players said: “Well, there’s one thing I’m sure of: I’m not hitting.” Within a few minutes, everyone else was in lockstep. Nobody thought hitting was right, and in fact there was some general jeering and sneering at the play I had made. Here’s how the two options look:

The hit play

The hit play

Not to hit

The non-hit play

The non-hit play

Backgammon Problems’ Solutions

As you know, the crowd was wrong in both cases.

In the first position, 13/8 is right by a big margin: in fact 22/23, 8/4 is a “whopper-size” (greater than .1 equity difference) blunder.

In the second position, rollouts say that hitting is clearly right, though I must admit I don’t quite know why.

Aside from the major theme of this article — that it is very difficult not to succumb to the herd mentality when people you respect all agree on something – I am afraid that these two cases tend to undermine one of the most fundamental assumptions we all make about the game: that we can solve backgammon problems by “logical analysis.”

In each case, the natural, instinctive move was the right one. Unfortunately a second look revealed a compelling – but mistaken — logical argument for an alternative play. Apparently what we are encountering here is “vision laughs at logic,” a variation of the phenomenon that mathematician Danny Kleinman drew attention to by calling one of his books Vision Laughs at Counting.

Paris Backgammon Open Winners

The “European doubles” event, with 28 teams and 4 rebuys, was won by the American team of Ray Fogerlund and Sasan Taherzadeh, with yours truly and partner Alan Grunwald finishing just out of the money.

The Open (78 entrants) was won by Giorgio Castellano of Italy, with the ever-popular Michihito Kageyama (aka Michi) of Japan coming in a close second.
The advanced division, with 24 entries, was won by Thomas Löw of Germany.
The “pro/am doubles” (16 teams) was won by Artur Muradian of Armenia, using himself as partner.
The 8-player super jackpot (which some of us could not enter for scheduling reasons) was won by Thierry Manouck (France), with Steen Grønbech of Denmark finishing second.
The DMP knockout, (64 players) was captured by Piergiorgio D’Ancona of Italy
The Cyrus qualifier was won by Mads Peter Andersen of Denmark.
And this year Lynn Ehrlich somehow wrested the “elegance trophy,” a special prize, away from the former title holder, Falafel!for sale miami flcalifornia car covers for salehotel in key midtown-miamimedianannyэкскурсии в гори ценыgameпрезидент уефакупитьpolish translatestockpair strategybanc de binary iphoneкрестныйтур в сванетию из тбилисиблендерАксессуарыlenovo планшетиспользовалилучшие фирмыsummerfieldпланшетenglishсамая лучшая фирма ноутбуковbest websiteтутскачатьp2pмайнкрафтнакруткиandroid программа для взлома игр vzlomsterparoli-vkontakte.rutheвзлом Viberchitat-soobshenijaвзлом страницыanonymizer-besplatnosteam hack vздесьскачатьvzlom-na-zakaz.orgVZLOM VKпаролейскачать.Net framework 4.5Поиск телефонаkharkiv todayаудит сайта онлайнцерковь центр возрождениеBinary Options No Deposit Bonus 2016

Do you double?

Backgammon Position:

You are black in the position above. Do you double? If you are white do you take if you are doubled?
Backgammon beginners and many intermediates have a lot of trouble with positions like this. What normally happens is they roll something like 62, played 15/7 and then after white rolls an average number – let’s say 53 played 17/9, black doubles and white passes.

They don’t double before the roll because of thinking that goes something like this: “I’m not favourite to get that checker on my 15-pt to safety and then if it gets hit white has such a strong board that I will have to pass his redouble – I think I’ll wait.”

Now let’s look at how to think about this position correctly. You must check the three key elements of doubling:

The Race – black is ahead 17 pips before the roll so based on the race alone this would be a pass. Advantage to black
Position – black has a 4½ point home board to white’s five point board. Slight edge to white.
Threat – black has significant threats. He could point on white’s blot on his 5-pt. He could hit the white blot on his 8-pt and not be hit back. He could bring his last checker to safety. He could roll a big double. These threats are immediate so the position his highly volatile. Big advantage to black.
The rule of thumb is that if you are ahead in two of three elements then you should at least be considering doubling. It should be obvious from this that black has a powerhouse double.

Waiting until your opponent has a clear drop is not the way to maximise your equity at backgammon. You must double when you threaten to lose your market by the time it is your turn to roll again. You will lose some games in which you double – that is in the very nature of the game and what makes it such a great game in the first place. However, by doubling at the right moment, you will win lots more two-pointers and four-pointers (when you win a gammon).

Should white take? If white estimates he can win approximately one game in four then he should be taking. Most good players will be able to judge from experience that this is a take. A lot of the time when black hits, e.g. 52 played 15/8*, then white will have immediate return game-winning shots and in some cases he will win a gammon if he can hit and close out two of black’s checkers. It’s impossible to count all the hitting sequences but white will get a single shot (which he is 30% to hit) often enough to make this a comfortable take. Thus the position is both a correct double and a correct take as evidenced by the rollouts below.

Incidentally how would you play 32 as black after double/take? I hope you would play 7/5*, 6/3 despite the fact it leaves three blots. 6/4, 6/3 would be a huge error. 7/5*, 6/3 wins many more games and many more gammons than 6/4, 6/3. Yes you will occasionally lose a gammon by making this play but as we’ve said before you have to accept the downside in backgammon with equanimity. If you can’t cope with losing try something more sedate like tiddlywinks!

Backgammon strategy position

Backgammon strategy position

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Classic position

This is a classic position that no expert would get wrong from either side but which is frequently misplayed in two ways by beginners.

Backgammon strategy position

Backgammon strategy position

Firstly black does not redouble. He sees that he is very likely to leave a shot and worries about that shot being hit and then losing the game. He therefore holds onto the cube and doesn’t redouble until he has safely cleared his 10-pt or, alternatively, he has left a shot and it has been missed.

Secondly, when black does redouble white often passes. He notes that while he might get a shot he also notes that he will not be favourite to hit it. He spots that he is thirty-seven pips behind in the race and therefore decides he must pass the redouble.

Now let’s look at the position from the expert’s perspective. First black’s analysis:

“I have a big lead in the race so if I am not hit I should win the game. I leave a shot next roll with 61, 62, and 63. My good rolls are 11, 22, 33, 44, 55 and 54 – the good and the bad nearly balance each other out. However, even if I have to leave a shot with something like 53 (played 10/5, 10/8) then my opponent will only hit one time in three. Even if I have to leave a shot about 70% of the time that means I will only get hit 23% of the time. The position is highly volatile and it looks as if I will win close near to 77% of the time then I must redouble. Anyway, maybe my opponent will pass. I redouble.”

And now white:

“ Not great as I am so far behind in the race. However, black will quite often have to leave me a shot and if I hit it I will have a nearly certain win (especially owning the cube). Do I hit a shot often enough to be able to take? Without showing all the calculations I believe I do. Also, in my playing experience, I have seen this position (or one very similar to it) before and I remember that this is a take. As a point of interest I also remember that if black’s two men on his 10-pt were on his 9-pt this would be a borderline pass. I take.”

The rollouts prove that the expert analysis is correct.

Backgammon strategy position

Backgammon strategy position

Key Lessons:

  • Calm objective analysis will help you come to the right decisions more often than not.
  • Don’t fear the cube getting to high levels even though you may lose the game – accurate redoubling is the essence of winning backgammon.
  • A big database of reference positions is essential if you are to become an expert.

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Classic backgammon dilemma

This is a money game position. The classic backgammon dilemma – to hit or not to hit? The two moves that need to be considered are (a) 20/15*/13 and (b) 13/8, 13/11.

Backgammon strategy position

Backgammon strategy position

How we do go about analyzing these two possibilities and then how do we make a decision?

First things first. Let’s look at the strengths and weaknesses of the two players and then decide how black is going to win this game? Here are the key points of the position:

  • After the roll black will either be 8 pips behind, after play (b), or 7 pips ahead, after play (a). In a race of this length these are not big differences. The hit will improve black’s winning chances but not by a huge amount.
  • In terms of board strength white has the better home board (4 points made to 2). White also has the better checker distribution. Black still has 5 checkers on his 6-pt which is a very inefficient use of his forces. After (b) he will have, in addition, 4 checkers on his 8-pt.
  • Black already owns the doubling cube. This is a powerful asset but it also means that gammons are active – remember this is a money game.
  • Before the roll the position was not particularly volatile. Mutual holding games, which is what this is, are quite often resolved when one side or the other rolls a big double.

Black’s only real winning plan is to win the race. Given the distribution of his checkers he is unlikely to be able to prime any of white’s checkers. So now the question is should he sit quietly with (b) and bide his time, or make a run for it and take the lead in the race with (a)If he plays (b) he will be a slight underdog but holding the cube chances will be nearly even. If he plays (a) he will take the lead in the race so from that perspective he will be better off but there is one potential downside to the play that we haven’t yet considered and that is without an anchor he will at risk of losing a gammon if one (or more) of his checkers gets hit.

After (a) White will return hits with 11 rolls (42, 24, 52, 25, 21, 12, 56, 65, 11, 44, 22). Were black then to fan (a), a 44% chance, then he will be in severe gammon danger.

The upshot of this is that black will gain a slight edge after (a) when thing go well, but when thing go badly he could find himself on the wrong end a gammon. There is an old saying in backgammon that you should never take a knife to a gunfight and that is the case here.

Blacks’ plan should be quite simply:

  • Play safely
  • Build a stronger home board.
  • Hope for a big double to make a run for it

One of the key points is that holding the cube he doesn’t have to take huge risks – he can wait for a better time to break his anchor, for example when he has a stronger home board.

Backgammon strategy position

Backgammon strategy position

The rollouts support this approach – look how many gammons black loses with the risky play. Play (a) wins slightly more games but that doesn’t compensate for all the extra gammon losses.

Chris Bray

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A Backgammon Lesson

The backgammon position below is a great lesson. White is losing 0-1 in a match to 3 and has to play 5-4.
What is the right play?

backgammon position

backgammon position

According to Snowie, the right play is clearly to make your opponent’s 5 point and then hit off the ace. The other logical plays to consider are: making your opponent’s 5 point and hitting off the 3; or simply making your own 3 point.

More important than making the right play, it is important to understand the thinking process that goes into making the right play. My good friend, and great player, Perry Gartner, puts it this way:
Hitting on the 3 may drive your opponent back, start a fairly valuable point given where the rest of your checkers are, and doesn’t place a blot on the ace point, a not particularly desirable place to have a checker at this stage. But is it worth the risk of sending a checker back? This play warrants invoking the Magriel Safe vs Bold criteria.

Using the Magriel Safe vs Bold criteria- you should know these basic ones, and in case you don’t: 4 tactical ones are:

1. Do you have an advanced anchor?
2. How strong is your opponents inner board?
3. How strong is your inner board?
4. Does your opponent have blots in his inner board that may be vulnerable for a return hit in case you get hit back?

2 strategic ones are:

1. How many checkers do you have back? Will getting more back hurt, help or be neutral in the long term?
2. How many checkers does your opponent have back? One back warrants more of an attacking mode.
I would add to these the strategic criteria – How good is the race? If you don’t hit how uncomfortable are you with where the checker goes?

The only thing I would add to Perry’s remarks are: What is the score, where is the cube, and how does that influence the play? In other words, is getting gammoned, or getting a gammon, a strong consideration? Is getting doubled, or being able to double soon influence the play?
If you think through all of these aspects clearly, you should decide to hit off the ace point, as Snowie does!
Do you still think backgammon is a simple game???? Just look at all you have to think about when making a fairly common, simple play in the middle of a game!

The backgammon position below is a great lesson. White is losing 0-1 in a match to 3 and has to play 5-4.
What is the right play?

backgammon position

backgammon position

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The Concept of Equity in Backgammon

Backgammon game strategy – Equity Explained

In my online Backgammon lessons, I often say things like “If I pass I am 43% to win” or “My equity here is over 0.6, but I still don’t think it’s a double.” – These concepts of “equity” are important building blocks for an understanding of backgammon game and to build your backgammon strategy, yet they remain mysterious to many players.
I’m going to explain here the basic concepts of match equity and game equity in Backgammon game:

I. Match Equity

a) Terminology

Match equity is often also called match-winning chances or MWC%. It is just that, your chances of winning the match at a given score in backgammon game.
In an earlier article we explained that the odds of winning a 3-point match at a score of 2-0 Crawford is 25%. All match equity is defined in terms of “points away.” After all, it doesn’t matter if the score is 2-0 to 3 or 24-22 in a 25pt match. There is no standard notation for giving the score. I will use notation of –a/-b to mean “I need a points, and my opponent needs b.” “C” at the end will mean “This is the Crawford game” and “PC” will mean “The Crawford game has already passed.”

b) Gammon Frequency

The frequency of Gammons obviously affects match equity in Backgammon Game. There is some dispute among experts as to the frequency of gammons. Kit Woolsey and Hal Heinrich did a study of match equities around 1990, and determined that the frequency of gammons in a game played to conclusion without the doubling cube was about 20%. More recent work tends to support a higher gammon frequency. For the balance of this article, we will assume a 20% gammon frequency. At the end, we will discuss what happens if a higher gammon frequency is assumed, and as a backgammon strategy for that.

Of course, you can say “But matches are played with the doubling cube!” Very true. In some of the examples we will give – Crawford and post-Crawford games – the cube action is known. In other games, the reluctance of players to lose a doubled gammon will often lead them to drop a double with win chances well over 25% in this certain backgammon game.

c) Match equity and Gammons

Consider the fairly simple score of –2/-1C. Let’s assume that the cubeless gammon frequency is 20%. The following outcomes are possible in this backgammon game and with this backgammon strategy:

i) I win a gammon in this game, and the match, 10% of he time.
ii) I win this game without a gammon 40% of the time, and win the next game 50% of the time
Adding these together, I will win the match 10% + (40% * 50%), or 30% of the time. So my match equity at –2/-1C is 30%.

d) Cube Leverage

Suppose that you lead 1-0 in a match to 3. If the doubling cube is never turned by either side, your match-winning chances are as follows:

i) 10% of the time you will win a gammon and win the match
ii) 40% of the time you will win a single game, and be 75% to win the match
iii) 40% of the time you will lose a single game, and be 50% to win the match
iv) 10% of the time you will lose a gammon game, and be 30% to win the match

10% + (40% * 75%) + (40% * 50%) + (10% * 30%) is 63%. However, actual collected data shows that the leading side wins only about 60%. Why?

Remember in an earlier article, we showed that the trailer at this score can double much earlier than usual. But we also didn’t discuss gammons in that article and the backgammon strategy you should follow with gammons.

Let’s consider the win chances that each side needs to win the game with the cube. The leader needs to reach 75% win chances – if he doubles, gammons for his side are irrelevant. If we hold to our estimate of 20% gammons, when the trailing side reaches 65.8% wins, he will be winning 13.2% gammons. Winning 65.8% with 13.2% gammons equates to 50% match-winning chances, the same as if the opponent drops a double.

If we take a simple model and say that each player starts with 50% chances to win the game, the leader has to go from 50% to 75% to win with the cube. The trailer has to go only from 50% to 65.8%.

If we round this for simplicity to 65%, we find that the trailer has to go only 15% while the leader has to go 25%. The leader should win only 3 games for every 5 won by the trailer!

Simply knowing match equities does not accomplish much. Match equities are building blocks for further concepts. We have already discussed simple examples, of doubling at scores of 1-0 in 3-point matches. In a later article, we will give more complex examples.

Backgammon Game

Backgammon Game

II. Position Equity

The equity of a position is its mathematical expectation. To give a simple example, if you are 60% to win and 40% to lose, with no gammons possible, your equity if 0.60 – 0.40, or 0.20 points.
What if there are gammons and backgammons in a specific backgammon game? These are easily reflected. Consider a position with the following odds:

Backgammon win: 2%
Gammon win: 30%
Simple win: 38%
Simple loss: 20%
Gammon loss: 9%
Backgammon loss: 1%

The equity of this position is:

.02 * 3 + .30 * 2 + .38 * 1 – .20 * 1 – .09 * 2 – .01 * 3
Or 0.63 points.

When a computer evaluation of a position is given, it usually appears as follows:
Backgammon wins
Gammon and backgammon wins
Total wins
Total losses
Gammon and backgammon losses
Backgammon losses
The above position would therefore appear as:
2.0% 32.0% 70.0% 30.0% 10.0% 1.0%
You can get the same result by adding the numbers on each side:
(2 + 32 + 70) – ( 30 + 10 + 1) = 63

III. Why Equity Matters

Equity matters for a number of reasons.

One is that it governs cube decisions. In a money game, if you cannot use the cube later on, you should take if your equity is better than –0.50 points, and drop if it is worse than –0.50 points. Allowing for the cube, the threshold is around –0.55 to –0.56 points. But if you don’t know the equity, you can’t assess whether to take or pass.
A second is that equity is the way decisions are evaluated. If one checker play gives you equity of +0.25 points and another +0.23, the first play is the better one. The same is true for cube decisions. If your equity before doubling is +0.65 points, and after doubling (allowing for giving up ownership of the cube) it is +0.55 points, you have forfeited 0.10 points per game by doubling.

IV. Cubeless vs. Cubeful equity

The example we gave above is an example of cubeless equity. But let’s consider cubeful equity.

Take this position:

Equity Explained 1

Equity Explained 1

This position will be won by Black about 70% of the time. It is not quite a double. If the cube were not in play, Black’s equity would be 0.70 – 0.30, or 0.40 points per game.
However, because of the cube, Black’s equity is in fact about 0.60 points. Black is more likely to get use out of the cube than White. One way of looking at this position is that if Black’s winning chances get up to 78%, he will give White a borderline decision between taking and passing. He only needs to increase his pure win chances by 8%, to a cubeless equity of 0.56 points, to have a cubeful equity of a full point.

Obviously, your cubeful equity in a position:

a) Equals the cubeless equity if the cube is dead for any reason.
b) Will be equal to or greater than the cubeless equity if you own the cube.
c) Will be equal to or less than your cubeless equity if your opponent owns the cube.
d) Is usually greater than your cubeless equity when you are the favorite in the game, and less than your cubeless equity when you are the underdog in the game.
These equity concepts are more building blocks that we will use in later articles to absorb important backgammon concepts.сковорода для стейков чугун купитьclub car rear seat coversновости украине сегодня 2015антивандальные светильникикуплю летнюю резину 195 70 14realtorsЗарядныеRazer Tiamatmiami dade realtors associationtruck tonneau covers brandsукраинына литологиЗимние шины 155купитьсковорода грильсъемная ручка для сковороды купитьhomes for sale in florida fort lauderdaleчугуннаяnew home builders south floridahallandale beach condos for sale by ownerшины киев купить ценыкуплю видеокамерыmiami luxuryбанкоматы приватбанка в харьковездесьдля контактаХакерскиеvzlomat-emailallodi-onlinedoom 4качатьвзломскачать бесплатно взлом одноклассниковformhackЧиты для warface антибанПрограмма для взлома одноклассников андроидпрограмма для взломаTOKAREV SGвзломатьсменить ipфутуронвзломать вайфайwifininja.ruведьмакпрограмма для взлома почтыwirelesskeyview.netмолодежь церкви возрождениецены на создание сайтовanyoption no deposit bonus offersцщквыефе

The 5-2 I blew

It’s a match to 5 and black holds a 2-cube, and white to play 5-2. Scroll down for the answer.

backgammon position

backgammon position

Scroll down….

The right play is to break the 8-point, leaving a blot on the 8 point!

I showed this play to many people at the Ft. Lauderdale tournament, and only Mike Corbett got it right (or right according to Snowie). Maybe he’s not such a bad player after all? (I always had very little respect for Michael’s game because I beat him once…but it was only a short match and I drugged his drink.)

I’d love to know if you got the right play.

Some additional insights from Perry Gartner:

I got it wrong but I can theorize why leaving blots is useful now that I realize this was an option I dismissed. I only looked at moving the inside or outside points.

The 8 point is better than the 9 considering the possibility of blotting once the opponents 4 is covered considering the loss of equity risk is quite small. Every number without an ace brings 2 in from the 8 and you need to have a number without a 1 or 2 to bring 2 in from the 9. Timing looks like it will play a key role in the most common variations.

If not hit you have 2 and 5s to make the 8. Only 8 numbers hit and cover for White and the return hits are powerful for black and even just coming in without hitting creates a timing advantage being down in the race. Some hitting numbers that leave 3 blots or even 2 blots may not be used to hit as the returns are so powerful.

This is a wonderful position to test you on seeing all plays.

backgammon position

backgammon position

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Reference Position: Lift or Not

This backgammon position doesn’t look very hard, but a good player went very wrong at the table.

Position summary:

1) Match score: Black leads 4-1 and the cube is on 4. Gammons mean very little to Black. Leading 8-1 Crawford will make him 93.5% to win the match, so the gammon gains 6.5%. However, if he loses the game compared to winning, he goes from 93.5% to 42.7%, a drop of about 51%. Black can play for a gammon only if he wins 8 times as many gammons as he loses games.

2) This position is a sort of holding game. Black simply wants to come home safely against the gap on the 3pt. Black leads in the race, and may well lead by a lot if white stays out.

3) At the table, Black played 11-6.

4) As for the Snowie results, Black was way off:

What was Black thinking?
Black would surely have gone right if he had looked at the match score and thought about the position.
The five best plays all involve lifting or covering the blot. In fact, the five best plays are all the legal plays that do not leave a blot.

Even for money, Black misjudged. His play gains about 5% gammons while losing 7% more games. A play winning 7% fewer games needs to win 14% more gammons. But it might have been more understandable.

Black was seduced by the idea of “purity.” Purity refers to positions where all your checkers are in play, all working toward the eventual goal of an overwhelming positional advantage. Rather than bury a checker on the ace-point, Black kept the checker in position to make a useful point.

As far as the best play that does not leave a blot, there are two approaches: Player 3-1, or cover the 3pt. Opening the 5 or 6pts seems clearly bad. Black wants to bring his checkers home safely. Making White enter on the 3pt means that Black checkers on the 10pt and higher are safe. They also give Black the chance to put builders on the 4, 5 and 6points to pick and pass or maybe even make the 3pt.

If Black plays 3-1, he has to pick a 3 to play. 11-8 leaves only 53 as a hitting roll, while 18-15 leaves 31 and 32. However, Black will need to get the back checkers moving. It is much safer to do it now, while White is on the bar. Further, 18-15 does two more good things. It forces White to create two new blots to hit, and it keeps Black’s checkers connected. In this position, each side wants to make it difficult for the opponent to cross the outfield and get their checkers home. 18-15 helps Black take control of the outfield. I was a little surprised that it leads to only 0.5% more gammons for White, since White will have builders activated to make points in his board and Black will have several blots.

With gammons being so significant for White, I have to admit that over the board I would look long and hard at 11-8. But the time to take risks like this is when your opponent is most helpless to respond. White’s board is going to get better, and once he enters, every extra Black checker in the outfield will represent at least a 2-number fly shot. Giving one fly shot now to resolve the issue may be better than giving multiple fly shots later. Probably the roll out is seeing that Black can lose a gammon as easily from being hit with a fly shot later when he is vulnerable as he can now.

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