What is the probability of getting three sixes in five tosses of a die?

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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  1. What is the probability of getting three sixes in five tosses of a die?

 

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Step 1

Let us denote X=the number of sixes

n=sample size=5

p=probability of success in each toss=16 (because 6 sided die)

X follows a binomial distribution with n=5 and p=16

 

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