Five distinct numbers are randomly distributed to players numbered 1 through 5. whenever two players compare their numbers, the one with the higher one is declared the winner. initially, players 1 and 2 compare their numbers; the winner then compares her number with that of player 3, and so on. let x denote the number of times player 1 is a winner. find p(x = i), i = 0, 1, 2, 3, 4.