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Black: 5 roll position with adjustment, pip count of 27, 10 checkers, mean 2.7 which lead to an adjustment of 3, 5. But the lack of checkers on the 3 is a problem, every subsequent 3 will lead to a big wastage, so the result 5x7+1+3.5=39.5 is probably more around 40.5 (result 40.1)
White: 7 roll position: 7x7+1=50 (result 50.1)
Cube action: a count of 40 EPC is 5. 53=2 so point of last take 42.5, big drop.
BLACK: 93.05% WHITE: 6.95%
Double/Drop. Double/Take +1.137(+0.137). No double +0.996(0.004)



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BLACK: Nice roll position, with the 6 nearly cleared, it’s still a correction of 7, even with 7 checkers off. 43 (result 43.2)
WHITE: nice position, with only 7 checkers +6.5. 44.5 (result 44.4)
CUBE ACTION: 43 is 6. 63=3. Point of last take 46
White is within 2 point of the last take, so double/take.
BLACK: 67.79% WHITE 32.21%
DOUBLE/TAKE / NO DOUBLE 0.003 / DOUBLE/PASS +.0450 


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BLACK and WHITE: nice position +7. So 50/52 for black (result 49.9/51.9).
CUBE ACTION: 50 is 7. 73=4. Point of last take : 54.
Close double and clear take.
BLACK 68.63% WHITE 31.37%
DOUBLE/TAKE / NO DOUBLE 0.000 / DOUBLE/PASS +0.452 


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BLACK: 3 roll position : 22 (result 22.1)
WHITE: this is a position between a 2 roll and a 3 roll position, probably closer than a 3 roll so let’s say 20 (result 20.4)
CUBE ACTION: point of last take 22.
So redouble/take because you have a lot of market losers.
BLACK: 64.89% WHITE: 35.11%
REDOUBLE/TAKE +0.445 / NO REDOUBLE 0.030 / PASS +0.555 


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BLACK: 4 roll with adjustment: mean a little less than 2, than adjustment a little less than 1. 4 roll position means 29 + 0.9=29.9 (result 29.9)
WHITE: Nice position: 25+7=32 (result 31.8)
CUBE ACTION: 29.9/7=4. 43=1. Point of last take at 30.9
So double/drop
BLACK: 79.88% WHITE: 20.12%
DOUBLE/PASS / NO DOUBLE 0.151 / TAKE +0.150 


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BLACK: 3 roll position :22
WHITE: nice position, normally +6 with so few checkers left but the fact that the 6 point is empty push you right back to 7. so 22 (result 21.8)
CUBE ACTION: Take point at 22. So it's a tiny take...but no recube vig. So probably a drop as a normal 3 roll position.
BLACK: 75.38% WHITE 24.62%
DOUBLE/PASS / NO DOUBLE:0.340 / TAKE +0.011 


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BLACK: 5 roll position with adjustment. 22 pips/ 9 checkers = mean at 2,4 so nearly 1 EPC. 7x5+1+0.8=36.8 (result 37.1)
WHITE: Stack and straggler formula : 3.5n+p that leads to 3.5x6+18=21+18=39
CUBE ACTION: 37/7=5. 53=2. Point of last take 38.8, close decision between take/drop, most likely a drop. A pip closer to home, it would be a take.
BLACK: 77.09% WHITE 22.91%
REDOUBLE/PASS / NO DOUBLE 0.169 / TAKE +0.027 


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Always useful to know several race formulas: here Keith Count says: redouble/take.
If we use EPC, we can see that both players will have a flat position with more wastage than the reference position, so let's say 11 for both. That lead to a count of 68/75.
68/7=9. 93=6. 68+6=74 So we have a clear drop.
If we use the Trice formula, we have also a pass.
So two formulas say Drop.
BLACK: 80.03% WHITE: 19.97%
REDOUBLE/PASS / NO REDOUBLE 0.106 / TAKE +0.083 


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BLACK: it's between a nice and a flat position, closer to a nice, so we give a correction of +8 that leads to 42 (result 42)
WHITE: Nice position so 45
CUBE ACTION: 42/7=6. 63=3 so point of last take 45.
DOUBLE/TAKE (73,11% 26,89%)
NO DOUBLE 0.096
DROP +0.203 


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BLACK: Close to a flat position or 3 roll position with adjustment. 23 (result 22.8)
WHITE: Nice position with a little more wastage. +7= 24 (result 23.9)
CUBE ACTION: Point of last take 23
DOUBLE/DROP (81.41% 18.59%)
NO DOUBLE 0.203
TAKE +0.231 


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BLACK: stack and straggler : 3.5x15+10=62.5 (result 63)
WHITE: nice position. Usually one checker deep inside the board is not a problem but two cost 1 EPC more. so +8 here 65 (result 65.5)
CUBE ACTION: 62.5/7 is closer to 9 than 8. 9 or 83=6 or 5. so the point of last take is closer to 68.5 than 67.5.
In both case, since it's a redouble, we are not within 1 of the point of last take, so NO REDOUBLE/TAKE (69,97% 30,03%)
REDOUBLE: 0.061
DROP: +0.331 


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BLACK: two ways to estimate this one:
 flat position with more wastage 26+13 or 14 =39 or 40
 N roll position with adjustment : 5 or 6 roll (adjustment +3 for a 5 roll) so 7x5+1+3=39 or 7x6+1=43
We have a range between 39/43, 39 seems too less and 43 too much, we can choose in the middle and see what happens: 41 (result 41.1) As we see, we can get close with a little of experience.
WHITE: Nice position. Usually, one checker deep doesn't hurt you. +7 43 (result 43.5)
CUBE ACTION: 41/7 is closer to 6 than 5. so 63=3 and point of last take 44.
REDOUBLE/TAKE (73,99% 26,01%)
NO REDOUBLE: 0.097
DROP:+0.153 


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