Answered: Three six-sided dice are rolled…

Three six-sided dice are rolled together. a. What is the probability that all three numbers will be the same? b. What are the odds that none of the numbers are a six?

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

Three six-sided dice are rolled together. a. What is the probability that all three numbers will be the same? b. What are the odds that none of the numbers are a six?

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Expert Solution

Step 1

There are 6 outcomes for the event rolling of a one-sided die.

The definition of probability is the ratio of favorable outcomes of the event to the total number of outcomes.

For the complement of the event $F$

$n (F') = Total number of outcomes - n (F)$

$n (F)$ is the number of outcomes of the event $F$

$n (F')$ is a number of outcomes of an event $F'$

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