http://www.pimp-your-poker.com/poker-hands-in-cards/
consisiting in a poker hand of 5 cards, where the probability of participation a) 3 aces b) 4 & 1 hearts club?
.. Nid help .. tnx
a) Since there are 4 aces in a deck, there are several ways of aces is 3: NCR = n! / (Nr)! (* R!) 4C3 = 4! ((4-3 *) 3!) = 4 Now there are 48 cards left in the deck, if you exclude two fourth ace as a possible ticket for the rest. The number of possibilities for the 2 cards is 48C2 = 48! / (46! * 2!) = 48 * 47 / 2 = 1128 Since 52C5 possible poker hands, which is the denominator in the equation probability theory that P (3 aces) = 4C3 * 48C2 / 52C5 = 4 * 1128 / 2598960 = 1736 * 10 ^ -3 = 0.1736% b) There are ways to pick fourth heart 13C4 There are ways to pick 13C1 * 1 Club P (4 + hearts club) = 13C4 13C1 / 52C5 = = 9295/2598960 3.5764 * 10 ^ -3 = 0.3576%
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