Please solve the following statistics and probability problem (show all work) :      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 familyhas children of both sexes and B is the event that there is at most one girl. Are events A and Bindependent?2. What is the answer in a family with 4 children?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.9: Independent And Dependent Events
Problem 3C
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 Please solve the following statistics and probability problem (show all work) : 

 
 
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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