A woman is selected at random from the population of the United States. Let event A represent "The woman is a professional basketball player" and event B represent "The woman is taller than 5 feet 4 inches."

Are these probabilities equal? If so, explain your reasoning. If not, explain which one is the greatest and why.

P(B) when you have no other information.

P(B) when you know A is true.

P(B) when you know A is false.