Card Game Probability QuestionDate: 5/22/96 at 15:21:51 From: Anonymous Subject: Card Game Probability Question Given a regular deck of 52 cards, what is the probability of getting the following combination: a spade, a queen, a diamond. The cards taken are not to be placed back into the deck. Date: 6/1/96 at 19:42:49 From: Doctor Anthony Subject: Re: Card Game Probability Question You can list the various ways that you can get a successful outcome: (1) spade other than queen, queen of spades, diamond. Prob = (12/52)(1/51)(13/50) (2) spade, queen of hearts, diamond. Prob = (1/4)(1/51)(13/50) (3) spade, queen of diamonds, diamond. Prob = (1/4)(1/51)(12/50) (4) spade, queen of clubs, diamond. Prob = (1/4)(1/51)(13/50) Multiply these out and add them to give the total probability. I get 1/204. -Doctor Anthony, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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