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.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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