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Cube?

Posted By: eXtreme Gammon
Date: Thursday, 30 June 2011, at 6:58 p.m.

In Response To: Cube? (steve)

Here is a quick course on how to use the dice distribution dialog for these cube decision.

For those who do not like playing with number the answer is “you should double because of the big market loser: 66”

Open the Dice Distribution (menu Analyze>Dice Distribution) Click on the level (Let's pick 5-ply) and then click on the Detail level and click "1st roll".

Then click back and forth the "After double/take"

You will see most of the equity do not change, these are the rolls where your opponent will double and you should take: in these it does not matter if you double or not.

Now, 66 is different: 66 is a market loser (except if the opponent rolls 55 or 66). By not doubling you lose a lot of equity on this roll. The equity after double/take is 1.774 compared to 0.967 without doubling, that’s a 0.807 lost

Now, what does doubling cost you? well close to nothing: the worse dice is 33 and after double/take is at -1.071. overall the dice distribution shows that you lose some equity after 11/32/31/22/21/55 and 33. Highlight these dice and under the list you will see “10 dice selected, average equity: -1.019) , so you lose 0.019*10=0.190

So your net gain by doubling is (+.807-0.190)/36=0.017.

There is a bit more to gain by doubling after rolling 44 as small dice reply makes it a market loser. To see how many of them: Use “Expanded” with “After double/take" and select the dice under 44: 22/14(2) that have an equity of +1.000). The status shows 13 dice

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