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March 22nd, 2012, 09:01 PM  #1 
Newbie Joined: Feb 2012 Posts: 10 Thanks: 0  Probability with cards
Can someone please help me with this problem? Thank you! A 10card hand is dealt from a standard deck of 52 playing cards. What is the probability that: a) you are dealt exactly 2 queens? b) you are dealt at most 3 diamonds? 
March 22nd, 2012, 09:35 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,209 Thanks: 517 Math Focus: Calculus/ODEs  Re: Probability with cards
There are possible hands. a) There are ways to choose 2 queens from 4 and ways to choose 8 cards from the remaining 48 to complete the hand. Thus, the probability P(A) of getting a hand with exactly 2 queens is: b) Using the method above, we find: 

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