Hold\'em Hand Analysis
You are heads up at the end of a tournament. You look down at your pocket cards to see Qh-3h. The flop comes 3c-Kh-Th and your opponent moves all-in and you call. Your opponent flips over 9h-9s.
He is currently ahead but you have the best of it because of your draws. There are 45 cards remaining in the deck so there are 45C2 combinations (i.e. 990 combinations) for how the turn and the river may fall. What is the probability of winning this hand? Describe and determine the probability of all situations where you could win? For example, you could win where both a K and T fell on the turn and river, and there is 3 x 3 combinations of this so you have 9/990. Account and quantify for the different ways in which you can win this hand (nb. not all ways are mutually exlcusive) and therefore, determine what is the probability of winning this hand?
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