ps03_2 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Civil and Environmental Engineering 1.017/1.010 Computing and Data Analysis for Environmental Applications/Uncertainty in Engineering Problem Set 2: Combinatorial Methods for Deriving Probabilities Due: Thursday, September 25, 2003 Problem 1 This is a classic combinatorial probability problem that can be solved by applying the counting and combinatorial principles from Lecture 4. Suppose that three balls are drawn successively and randomly from a box containing 6 red balls, 4 white balls, and 5 blue balls that are identical except for their colors. Determine the probability that these balls are drawn in the order red, white, blue if 1) each ball is replaced after it is drawn 2) each ball is not replaced after it is drawn. Note that since order is important you need to consider permutations rather than combinations when evaluating the number of outcomes for each event. Problem 2
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This note was uploaded on 11/29/2011 for the course CIVIL 1.00 taught by Professor Georgekocur during the Spring '05 term at MIT.

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ps03_2 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department...

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