This problem is to show that determining if two events are independent is not always obvious. 1. Consider a family of 3 children. Consider the following two events. A is the event that the family has children of both sexes and B is the event that there is at most one girl. Are events A and B independent? 2. What is the answer in a family with 4 children?

This problem is to show that determining if two events are independent is not always obvious. 1. Consider a family of 3 children. Consider the following two events. A is the event that the family has children of both sexes and B is the event that there is at most one girl. Are events A and B independent? 2. What is the answer in a family with 4 children?

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

This problem is to show that determining if two events are independent is not always obvious.
1. Consider a family of 3 children. Consider the following two events. A is the event that the family
has children of both sexes and B is the event that there is at most one girl. Are events A and B
independent?
2. What is the answer in a family with 4 children?

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