Are the following statements true or false?
(a) If a fair coin is tossed three times, the probability of obtaining two heads and one tail is the same as the probability of obtaining one head and two tails.
(b) If a card is drawn at random from a deck of cards, the probability that it is a heart increases it is conditioned on the knowledge that it is an Ace.
(c) The number of ways of choosing live different letters from the alphabet is more than the number of seconds in a year.
(d) If two events are independent, then the probability that they both occur can be calculated by multiplying their individual probabilities.
(e) It is always true that P(A | B) + P(Aʹ | B) = 1.
(f) It is always true that P(A | B) + P(A | Bʹ) = 1.
(g) It is always true that P(A | B) ≤ P(A).