An unfair die is rolled repeatedly. Assume that the rolls are independent and the probability of getting a ‘3’ is 0.75 a) What is the probability that that the first time getting a ‘3’ is on the 4th roll? b) What is the probability that the third ‘3’ is obtained on the 5t

An unfair die is rolled repeatedly. Assume that the rolls are independent and the probability of getting a ‘3’ is 0.75 a) What is the probability that that the first time getting a ‘3’ is on the 4th roll? b) What is the probability that the third ‘3’ is obtained on the 5t

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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Question

An unfair die is rolled repeatedly. Assume that the rolls are independent and the probability of getting a ‘3’ is 0.75
a) What is the probability that that the first time getting a ‘3’ is on the 4th roll?
b) What is the probability that the third ‘3’ is obtained on the 5th roll?
c) What is the expected number of rolls before the third ‘3’ is obtained?

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