Consider two women, Alice and Barbara, who are each about to have a baby. (a) What is the probability that Alice has a girl? (b) What is the probability that Barbara has a girl? (c) What is the...

Consider two women, Alice and Barbara, who are each about to have a baby.

(a) What is the probability that Alice has a girl?

(b) What is the probability that Barbara has a girl?

(c) What is the probability that both Alice and Barbara have girls?

(d) If Alice gives birth to a girl before Barbara has her baby, what is the probability that Barbara has a girl?

(e) Are the outcomes Alice has a girl and Barbara has a girl independent events? Justify your answer.