Posted by Kenny on .
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?
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?