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BGonline.org Forums
Position of the Day 09-07-26
Posted By: Chuck Bower In Response To: Position of the Day 09-07-26 (Stick)
Date: Tuesday, 22 September 2026, at 4:54 p.m.
Blue's best rolls are {all 3's,21,55,66} = 15/36. For the other 21/36 let's treat as a race. Blue's 1 pip lead there (and we assume it stays that way...) makes him about 60-40 favorite. It's probably a bit more but we can make adjustments later if necessary. That means for the pure races White wins (cubeless) 0.4*(21/36) = 8.4/36. With cube ownership that would be enough right there.
White will get some wins after getting hit. Blue's gammons are possible but I don't think they are enough to sway this to a pass.
Meanwhile, Blue's 15/36 good rolls are market losers if White fails to roll a 4 (and sometimes when she does roll a 4). (15/36)*(25/36) = 375/1296 which is more than 324/1296 (i.e. more than 25%). The only turnaround sequences occur when Blue hits a fly shot while entering, but those are pretty rare and even then Blue can immediately counter. Thus I think we've fulfilled ODR.
D+T.
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