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Bear off cube action (Score related)

Posted By: Stick
Date: Sunday, 15 March 2015, at 12:28 a.m.

In Response To: Bear off cube action (Score related) (Mochy)

2) Suppose precise EPC is given, do you have any method which convert EPC to MWC?

You should be able to estimate rather easily the epcs for each player OtB. The on roll player has a near perfect 5 roll position.

Another good way to adjust the epc for close to pure N roll positions is as follows.

Even Odd
1 2.0 2.6
2 2.3 2.9
3 2.6 3.2
4 2.8 3.4
5 3.0 3.6

How to read the above table. The numbers under Even and Odd refer to the average pip count per checker. The numbers in the left column from 1 to 5 tell you how many pips to add to the 7n+1 formula. Take the example below where you have 10 checkers totaling 20 pips. This gives you an average pip count per checker of 2.0 and is near a pure N roll position. You have an even number of checkers left so the formula tells you to add 1 effective pip to the 7n+1 formula. Since the number of rolls here equals 5 we would normally have 7(5)+1 = 36 as your epc. Given our more accurate modification using the above chart we know to add 1 more effective pip to our total and come up with an epc of 37. The difference between even and odd is because you can afford to miss with an odd number of checkers but not with an even number.

Using this we'd have the epc of the on roll player at almost 38. The other player has a (near) nice position so it wastes 7 pips. His epc is 44.

Stick

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