Answered: 3.1.5A fair die is rolled eight times.…

3.1.5A fair die is rolled eight times. Calculate the probability that there are: (a) Exactly five even numbers (b) Exactly one 6 (c) No 4s

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

3.1.5A fair die is rolled eight times. Calculate the probability that there are:
(a) Exactly five even numbers
(b) Exactly one 6
(c) No 4s

Expert Solution

Step 1

Introduction:

Denote X₁ as the number of even numbers, X₂ as the number of 6’s, and X₃ as the number of 4’s obtained by rolling the fair die 8 times.

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