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Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".

Posted By: Curtis Simmons
Date: Wednesday, 30 May 2007, at 3:50 a.m.

This message only applies when you and your opponent have just two or less men remaing and they are in you home boards.

It is always your turn and you have the cube, or it is in the middle, unless otherwise stated.

(Percent is your expected gain or loss.)

(100% means the opponent should fold.)

(Numbers with the + are the points where your or his men are.)

(Numbers, without a plus sign, include all combinations that add up to that number, unless otherwise stated.)

. .

RULES FOR LEAVING ONE OR TWO MEN

1) If possible, leave one man rather than two.

2) If you must leave two men, leave them on different points.

3) If you still have a choice, move off the six point.

4) If you are already off the six point, move the man on the lower point. . .

.....................WHEN TO DOUBLE

1 to 6..................................1 to 12

5+2....................................4 or less, except 2+2

3+3 or 7, except 6+1.........6 to 12

6+1 and 8 to 9...................3+3 and 7 to 12

10.....................................3+3 and 7 to 12, except 5+2

11......................................8 to 12

12.....................................10 to 12 . .

WHEN NOT TO DOUBLE

3+3 and 5 to 12, except 3+2.............6+0 or less with +0 and +1 only

6+1 and 8 to 12................................2+2 and 3+2

4+4 and 9 to 12.................................4+2 and 5+1

10 to 12............................................5+2

11 to 12............................................3+3 and 4+3

12....................................................6+1 and 8

WHEN TO ACCEPT A DOUBLE

1 to 12........................................................6+0 & less with +0 and +1 only

2+2 and 3+2 and 6 to 12, except 6+0.........2+2

3+2 and 6 to 12, except 6+0......................3+2

6 to 12, except 6+0....................................4+2 and 5+1

7 to 12 plus 3+3........................................5+2

7 to 12, except 5+2...................................3+3 and 4+3

8 to 12......................................................6+1

8 to 12, except 5+3..................................5+3

4+4 and 9 to 12.......................................6+2

10 to 12..................................................4+4 and 9

11 to 12..................................................6+4

12...........................................................5+5 and 11 to 12

WHEN ONLY TO DOUBLE IF THE CUBE IS IN THE CENTER

5+2...............................................5, 6+0, and 2+2

4+3 and 3+3.................................3+2 and 2+2

6+1 and 8, except 4+4...................4+2 and 5+1

6+4...............................................5+2

11.................................................6+1

12.................................................9

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