suppose you roll a fair six-sided die repeatedly until the first time you roll a number that you have rolled before. Question: For each r=1,2... calculate the probability Pr that you roll exactly r times.

suppose you roll a fair six-sided die repeatedly until the first time you roll a number that you have rolled before. Question: For each r=1,2... calculate the probability Pr that you roll exactly r times.

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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suppose you roll a fair six-sided die repeatedly until the first time you roll a number that you have rolled before.

Question: For each r=1,2... calculate the probability Pr that you roll exactly r times.

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Step 1: P7 = 5/324. P8,9,10 = 0.

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Step 2: The probability is 1.

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