Monday
May 25, 2015

Homework Help: Math

Posted by Kenny on Monday, September 3, 2007 at 11:25am.

Question:
You are randomly dealt 5 cards from a standard deck of 52 playing cards. What is the probability that you have at least 4 cards of the same suit?

My solution:

4 [ P(4 of the same suit) ] - because there are 4 different ways to get 4 of the same suit, Clubs, Hearts, Spades and Diamonds.

P(4 of the same suit) =
(13 C 4 * 39 C 1)/
(52 C 5)

13 Choose 4 because you have 13 different cards in one suit, and you must choose 4 of those, then for the remaining 39 cards you must choose 1.

4 [ P(4 of the same suit) ] = .0429

Does this seem like I answered the question properly?

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