6. Answer the following the questions below, part a is a sample solution, solve for b and c . ( 4 points for each for a total of 8 points). A coin is tossed four times. Each time the result H for heads or T' for tails is recorded. An outcome of HHTT means that heads were obtained on the first two tosses and tails on the second two. Assume that heads and tails are equally likely on each toss. a. How many distinct outcomes are possible? ANSWER In each of the four tosses there are two possible results: Either a head (H) or a tail (T') is obtained. Thus, by the multiplication rule, the number of outcomes is 2-2.2.2 = 24 = 16. b. What is the probability that exactly two heads occur? C. What is the probability that exactly one head occurs