You play a game consisting of two steps. A fair 4-sided die containing the numbers 1.1.2.3 is rolled and after this is done, you flip a fair coin the same number of times as the number you just rolled. (For erample, if you roll a 3. you flip the coin 3 times.) The results of the coin flips are recorded. Let S represent the set of all possible outcomes of the coin flip(s) in this game. (a) Find the value of S], the number of possible coin-flip outcomes in this game. (b) What is the probability that precisely 2 heads are recorded? (c) What is the probability that the first flip is tails, given that you know that precisely one of the flips is heads?