2 When a fair coin is flipped twice find each of the following probabilities a P both are H b P 1st is TU 2nd is H d P 2nd is H both are T c P both are T at least one T e P at least one H 2nd is T 3 Consider a well shuffled standard deck of 52 cards When a card is randomly selected Let A and D be the following events A the selected card is an ace D the selected card is a diamond Find each of the following probabilities a P A b P D c P An D d P AUD e P A D f P DA g If two cards are being randomly selected without replacement what s the probability that both cards are ace h If two cards are being randomly selected without replacement what s the probability that the first card is a red king and the second card is a black king