(solution) Consider the random experiment of simultaneously tossing two fair coins. Clearly illustrate the

(solution) Consider the random experiment of simultaneously tossing two fair coins. Clearly illustrate the

Consider the random experiment of simultaneously tossing two fair coins. Clearly illustrate the sample space of the above random experiment. Let A denote the event that “at least one head shows” and B denote the event that “there is a match of two coins.” Find P ( A ) and P ( B ). Compute P ( A | B ) and P ( B | A ). Determine whether the two events A and B are statistically independent.