Professional No-Limit Hold 'em Volume 1 Review Thread

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Have the book now. I'm reading the Equity bit. It has a hand of 7s7h on a flop of 8d7c6d and you get raised all in. It says your equity against the straights is 35%. I'm sure this is obvious but how has that been derived?


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You have 7 outs to pair the board and beat a straight on the turn, and if you miss, 10 outs on the river. The chance of the board not pairing is 38/45 * 34/44 or 65.25%. So, your chance of the board pairing at least once is 34.75%.

Note we use 45 and 44 unseen cards instead of 47 and 46 unseen cards in calculating equity against the straight because, by definition, if he has a straight on the flop, he can't have any of our outs (ie cards that pair the board) in his hand.