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One day, you are riding a tricycle with two other passengers (only three passengers are allowed due to health protocols). Passenger A was chatting with passenger B and you overheard them talking about their children. Both of the passengers have two children and passenger B's younger child is a girl. Before you hear the rest of their conversation, you arrived at your destination and got off the tricycle. As the tricycle drives away, you saw that passenger A bought a toy that was for boys (this means that at least one of her children is a boy). Based on these observations, what is the probability that both of Passenger A's children are boys? What is the probability that both passenger B's children are girls? Explain and justify your solution and answer.

One day, you are riding a tricycle with two other passengers (only three passengers are allowed due to health protocols). Passenger A was chatting with passenger B and you overheard them talking about their children. Both of the passengers have two children and passenger B's younger child is a girl. Before you hear the rest of their conversation, you arrived at your destination and got off the tricycle. As the tricycle drives away, you saw that passenger A bought a toy that was for boys (this means that at least one of her children is a boy). Based on these observations, what is the probability that both of Passenger A's children are boys? What is the probability that both passenger B's children are girls? Explain and justify your solution and answer.

A First Course in Probability (10th Edition)
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. One day, you are riding a tricycle with two other passengers (only three passengers are allowed due to health protocols). Passenger A was chatting with passenger B and you overheard them talking about their children. Both of the passengers have two children and passenger B's younger child is a girl. Before you hear the rest of their conversation, you arrived at your destination and got off the tricycle. As the tricycle drives away, you saw that passenger A bought a toy that was for boys (this means that at least one of her children is a boy). Based on these observations, what is the probability that both of Passenger A's children are boys? What is the probability that both passenger B's children are girls? Explain and justify your solution and answer.
Transcribed Image Text:1. One day, you are riding a tricycle with two other passengers (only three passengers are allowed due to health protocols). Passenger A was chatting with passenger B and you overheard them talking about their children. Both of the passengers have two children and passenger B's younger child is a girl. Before you hear the rest of their conversation, you arrived at your destination and got off the tricycle. As the tricycle drives away, you saw that passenger A bought a toy that was for boys (this means that at least one of her children is a boy). Based on these observations, what is the probability that both of Passenger A's children are boys? What is the probability that both passenger B's children are girls? Explain and justify your solution and answer.
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