My Math Forum First and last card in a deck

 August 25th, 2013, 02:38 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, 08:02 AM   #2
Math Team

Joined: Dec 2006
From: Lexington, MA

Posts: 3,267
Thanks: 408

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, 08:40 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!

 Tags card, deck

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post pedro malafaya Elementary Math 3 May 27th, 2013 07:56 AM flyingL123 Advanced Statistics 1 October 16th, 2011 10:05 PM hunnybee Probability and Statistics 14 July 17th, 2011 06:29 PM wowbringer Algebra 1 March 17th, 2011 09:05 PM Niko Bellic Probability and Statistics 1 March 18th, 2010 01:15 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top