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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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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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