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March 27th, 2011, 06:50 PM  #1 
Newbie Joined: Mar 2011 Posts: 1 Thanks: 0  Deck of Cards Probability
You are dealt 4 cards from a standard deck of cards. What is the probability you get a 4 card straight, in a black suit, starting with Jack and ending with Ace?

March 27th, 2011, 06:57 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Deck of Cards Probability
There are only two such hands, one in clubs and one in spades. The total number of 4 card hands is: thus the probability is 
March 27th, 2011, 07:23 PM  #3  
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,935 Thanks: 1129 Math Focus: Elementary mathematics and beyond  Re: Deck of Cards Probability Quote:
 
March 27th, 2011, 07:28 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Deck of Cards Probability
Ah yes, big difference between a straight and a straight flush!! You're right, there are such hands. Thanks for catching that flub! 

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