Re: Good morning. Concidering a mid-pocket pair
Glanced briefly, there's at least one problem. Your denominators of C(52,5) and C(52,2) are incorrect. You have knowledge of at least 2 cards...so those are impossible on the board.
There are C(50,2) possible hands for him to have. So the odds of him having an overpair to your 10-10 is:
[4 * C(4,2)]/C(50,2) or 24/1225 or about 1.96%.
Assuming he has K-K, the odds that you'll hit one 10, without a K on board should be:
2 * C(44,4)/C(48,5)
271502/1712304 = ~15.86%
Excluded hitting both 10's, as K's are essentially irrelevant at that point. If the board comes 10-10-K-K-X, it's worth the story.
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