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Unformatted text preview: up on both? (b) [ pts] What is the expected sum of two dice, given that dierent numbers come up? (Use your previous answer and the Total Expectation Theorem.) 3 Recitation 21 (c) [ pts] To simplify the analysis, suppose that we always roll the dice three times, but may ignore the second or third rolls if we didnt previously get doubles. Let the random variable X i be the sum of the dice on the ith roll, and let E i be the event that the ith roll is doubles. Write the expected number of squares a piece advances in these terms. (d) [ pts] What is the expected number of squares that a piece advances in Monopoly? MIT OpenCourseWare http://ocw.mit.edu 6.042J / 18.062J Mathematics for Computer Science Fall 2010 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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This note was uploaded on 01/19/2012 for the course CS 6.042J / 1 taught by Professor Tomleighton,dr.martenvandijk during the Fall '10 term at MIT.
 Fall '10
 TomLeighton,Dr.MartenvanDijk
 Computer Science

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