Question: A couple plans to have three children. Use the letter G to indicate the event that a child is a girl, and use the letter B to indicate the even that a child is a boy.

(a) (4) Write down all possible arrangements of the sexes of the three children.

(b) (4) Let the random variable X be the number of girls the couple has. Using your information from part (a), create the probability distribution of X by filling in the values in the table:

(c) (4) Create a probability histogram for the random variable X.

(d) (4) Describe the event X < 2 in words. What is P(X < 2)?

(e) (4) Express the event “the couple has at least 1 girl” in terms of X. What is the probability of this event?