SOLUTION: Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability that two cards of the same suit are drawn. (Round your answ

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Question 634695: Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability that two cards of the same suit are drawn. (Round your answer to four decimal places.)
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
P(2 spades) = %22C%2813%2C2%29%22%2F%22C%2852%2C2%29%22
P(2 clubs) = %22C%2813%2C2%29%22%2F%22C%2852%2C2%29%22
P(2 hearts) = %22C%2813%2C2%29%22%2F%22C%2852%2C2%29%22
P(2 diamonds) = %22C%2813%2C2%29%22%2F%22C%2852%2C2%29%22

P( 2 spades OR 2 clubs OR 2 hearts OR 2 diamonds) =

P( 2 spades) + P(2 clubs) + P(2 hearts) + P(2 diamonds) =
%22C%2813%2C2%29%22%2F%22C%2852%2C2%29%22 + %22C%2813%2C2%29%22%2F%22C%2852%2C2%29%22 + %22C%2813%2C2%29%22%2F%22C%2852%2C2%29%22 + %22C%2813%2C2%29%22%2F%22C%2852%2C2%29%22 =

4×%22C%2813%2C2%29%22%2F%22C%2852%2C2%29%22 = 4×78%2F1326 = 4×1%2F17 = 4%2F17 = 0.2353

Edwin