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Recitation2Solutions

# Recitation2Solutions - k card hand has two(diﬀerent pairs...

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Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Spring, 2008) Recitation 2 Solutions (Friday, April 11) Question 1. Consider a k 4 card hand from a deck with m numbers and n 4 suits. There are mn cards in the deck. 1. What is the probability that a k card hand has no pairs? ( m k ) n k ( mn k ) . (1) 2. What is the probability that a k card hand has exactly one pair? ( m 1 )( n 2 )( m - 1 k - 2 ) n k - 2 ( mn k ) . (2) 3. What is the probability that a
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Unformatted text preview: k card hand has two (diﬀerent) pairs? ( m 2 )( n 2 )( n 2 )( m-2 k-4 ) n k-4 ( mn k ) . (3) 4. What is the probability that a k card hand has three of a kind? ( m 1 )( n 3 )( m-1 k-3 ) n k-3 ( mn k ) . (4) 5. What is the probability that a k card hand has four of a kind? ( m 1 )( n 4 )( m-1 k-4 ) n k-4 ( mn k ) . (5) www.ece.drexel.edu/faculty/sweber 1 April 11, 2008...
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