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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. 

find the density function

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