A couple has 2 children. What is the probability that both

Chapter 3, Problem 8P

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QUESTION:

Problem 8P

A couple has 2 children. What is the probability that both are girls if the older of the two is a girl?

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QUESTION:

Problem 8P

A couple has 2 children. What is the probability that both are girls if the older of the two is a girl?

ANSWER:

Step 1 of 2

We have to find the probability of both are girls if the older of two is a girl

Let G denote the girl

and B denote the boy

A couple having two children

Then the sample space is {(GG), (GB), (BG), (BB)}

Let A be the event that both are girls

Then A={(GG)}

Then P(A)=1/4

Let B be the event that the older one is girl

Then B={(GG), (GB)}

Then P(B)=2/4

 

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