You repeatedly roll fair dice. If the dice comes up 6, you instantly win and stop playing. However, if it comes up k, for k is between 1 and 5, you wait k minutes and roll again. What is the expected elapse time from when you start rolling until you win. (Note: If you win on your first roll, the elapsed time is zero.)
You repeatedly roll fair dice. If the dice comes up 6, you instantly win and stop playing. However, if it comes up k, for k is between 1 and 5, you wait k minutes and roll again. What is the expected elapse time from when you start rolling until you win. (Note: If you win on your first roll, the elapsed time is zero.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:You repeatedly roll fair dice. If the dice comes up 6, you instantly win and stop
playing. However, if it comes up k, for k is between 1 and 5, you wait k minutes
and roll again. What is the expected elapse time from when you start rolling until
you win. (Note: If you win on your first roll, the elapsed time is zero.)
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