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A solution is defined as a unique combination that completes a straight, as opposed to permeations. To make sure that we are on the same wavelength; given down cards (3 5) there are only 3 solutions (A 2 4), (2 4 6) and (4 6 7). Straight flushes are not discounted.
Single solution probability: (8 C 1)(4 C 1) --------------- ~.0148 (47 C 1)(46 C 1) 2 out probability: 1 - (45/47)(44/46) ~.0842 .0148 ----- * 2 ~ 1/3 .0842 So straight needing 2 cards after the flop could be counted as 1/3 out per solution. Some disagreement exists on the actual weight that could be assigned but my thoughts are that it should only be increased, or decreased, depending on the other circumstances of the game and players |
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