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March 22nd, 2012, 08:01 PM   #1
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Probability with cards

Can someone please help me with this problem? Thank you!

A 10-card 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?
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March 22nd, 2012, 08:35 PM   #2
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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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