You graduated from Penn State ten years ago and now two of your closest friends

Question

You graduated from Penn State ten years ago and now two of your closest friends are getting married. They want to have four children, with two of them being boys and two of them being girls. However, they have been fighting over the probability of this occurring. Since they are both business majors and have never studied genetics, they come to you to settle their debate. Since you have excellent retention of everything you learned in Bio 110 you tell them that the probability of having two of their children be boys and two of them be girls is

Explanation / Answer

Answer:

Each child has two options being a boy or a girl.
So total number of outcomes =24 =16.

Number of ways in which, out of 4 children there will be 2 boys and 2 girls = 4!/2!* 2! = 6.

So,
Probability = 6/16 =3/8

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