# hw1 - HOMEWORK 1 SOLUTIONS SJSU Electrical Engineering...

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HOMEWORK 1 SOLUTIONS EE250 Spring 2009 SJSU - Electrical Engineering Problem 1 [10 points] a) A person draws 6 cards from a deck of 52 cards. What is the probability that he has a royal Fush? To obtain a royal Fush, he must have ace, king, queen, jack, and ten of the same suit. Solution: There are 4 possible royal Fushes using 5 cards. The 6th card can be any card (52-5 =47 possibilities). Hence, P ( Royal Flush ) = 4 × 47 C 52 6 . b) A house has 12 rooms (10 bedroom and 2 living rooms). We want to paint 4 yellow, 5 red and 3 purple. We do not want the living rooms to be the same color. In how many ways this can be done? Solution: You can choose 4 rooms you want to paint yellow; then, choose 5 rooms you want to paint red; the rest of them will be painted purple. N = C 12 4 C 8 5 . The number N includes the cases where the living rooms have the same color. Let’s count these: Let N Y ,N R ,N P denote the number of ways that the rooms can be painted when both of the living rooms are painted yellow, red, and purple respectively. N

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hw1 - HOMEWORK 1 SOLUTIONS SJSU Electrical Engineering...

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