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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.)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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.)
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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