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The difference between 47 and 45 is not really all that much. It is infact two straights; and that is all.

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Yes, but you rarely flop a straight, you flop straight draws. There are 3 ways to flop an open-end straight draw with 45 but only 1 way with 47. To me, that makes 45 around 3 times more valuable. 47 is junk as far as straight draws go unless you flop 56x, which only happens about 0.6% of the time.