Problem #PRU-65347

Problems Probability and statistics Probability theory Conditional probability Discrete distribution

Problem

We will assume that the birth of a girl and a boy is equally probable. It is known that in some family there are two children.

a) What is the probability that one of them is a boy and one a girl?

b) Additionally, it is known that one of the children is a boy. What is the probability that there is one boy and one girl in the family now?

c) Additionally, it is known that the boy was born on a Monday. What is the probability that there is one boy and one girl in the family now?