Answered: Each night in a family of four…

Each night in a family of four siblings, the parents randomly assign the order for the siblings to take their baths. What is the probability that the youngest will go last?

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

Each night in a family of four siblings, the parents randomly assign the order for the siblings to take their baths. What is the probability that the youngest will go last?

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Step 1: Introduction

There are 4 siblings, so there are 4 factorial (4!) ways to arrange them in different orders. However, since we want the youngest to go last, there are only 3 siblings whose positions need to be determined, as the youngest is fixed in the last position

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