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Assume that girls and boys are equally likely and the event \"having a girl\" do

ID: 3245834 • Letter: A

Question

Assume that girls and boys are equally likely and the event "having a girl" does not affect the future/past probability of "having a boy" and vice versa. Also, there are no twins. You see a woman walking on the street with a girl. She tells you that she has two children and that the girl with her daughter. What is the probability that the other child is a boy? (enter a fraction) Assume that girls and boys are equally likely and the event "having a girl" does not affect the future/past probability of "having a boy" and vice versa. Also, there are no twins. You see a woman walking on the street with a girl. She tells you that she has two children and that the girl with her is her youngest child daughter. What is the probability that the other child is a boy?

Explanation / Answer

let girl child can be represented by G and boy child can be by B

for two children the sample space ={GG,GB,BG,BB}

9)

events where one child is girl ={GG,GB,BG}

therefore probabilty that other child is boy; given one child is girl =(2/3)

10)

events where younger child is girl ={GG,GB}

therfore probabilty that other child is boy =(1/2)