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
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...
Related questions
Question

Transcribed Image Text: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.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 6 images

Recommended textbooks for you

A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON


A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
