http://www.pimp-your-poker.com/poker-hands-espanol/
Possibility of Poker Hands?
Hey just a quick calculation. First, it correctly (and shows the work) shall be an awesome ten (10) puntos (espanol for points). Okay (two questions) 1) What are the options (in%) receive a poker hand (5 cards), which has 2 and 3 diamond Hearts.? 2) What in the beginning of the possibilities that poker hand (5 cards) in that exact order? (Of two hearts, diamonds and then 3) thanks
Let's do these in reverse order: 2) To 13 * 12 * 13 * 12 * 11 / (52 * 51 * 50 * 49 * 48) (13 H for the first card, 12 for second, diamonds, followed by 13 x 12 x 11) / 52 decisions for the first card, then 51, 50, 49, 48 156 * 156 * 11 / (132600 * 392) = 24336 * 11 / 311875200 267696 / 311875200 = 0.000858343337 0.0858% 1) for hearts and diamonds in any order, it is exactly 10 times as much, because the two hearts can appear in any positions 10 = 5C2, and for each of these Positions, the probability is as above. We can verify that this part of the solution in another way Total hands = 10 C 5 = 2.59896 million 2 hearts, 3 diamonds in any order: 13C2 13C3 * = 13 * 12 * 13 * 12 * 11 / 2! 3! = 156 * 156 * 11 / 12 = 13 * 156 * 11 = 22308 22308 / 2598960 = 0.00858343337, exactly 10 times the number above. 0.858%
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