My Math Forum First and last card in a deck

 August 25th, 2013, 03:38 AM #1 Newbie   Joined: Aug 2013 Posts: 2 Thanks: 0 First and last card in a deck Hey there, I am stuck with this problem: given is a set of 52(4x13) playing cards. What is the probability that the first and the last card in the stack are both queens? Any hints?
August 25th, 2013, 09:02 AM   #2
Math Team

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Re: First and last card in a deck

Hello, thnake!

Quote:
 Given is a deck of 52 playing cards. What is the probability that the first and the last card in the stack are both Queens?

$P(\text{first is Queen}) \:=\:\frac{4}{52}$

$P(\text{last is Queen}) \:=\:\frac{3}{51}$

$P(\text{both}) \;=\; \frac{4}{52}\,\cdot\,\frac{3}{51} \;=\;\frac{1}{221}$

 August 25th, 2013, 09:40 AM #3 Newbie   Joined: Aug 2013 Posts: 2 Thanks: 0 Re: First and last card in a deck oh dear! i was thinking way too complicated Thanks a lot!

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