(1) A lottery is held to award tickets to this weekend's basketball games. The probability of winning a ticket to Friday night's game is pF. For Saturday night's game, the probability is pS. Assuming the contest for each night's tickets are run independently, what is the probability that a single student wins: (a) both tickets (b) a Saturday night ticket but not a Friday night ticket (c) just one ticket (d) at least one ticket (e) Rewrite your answers for (a-d) for the case where pS = pF = p, and in each case, express your result in terms of p. (Problem from John Novembre)