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Exercise 1.15. Assume that the numbers 1,2, n are randomly given to players labeled 1,2,...,n. Initially, player 1 and player 2 compare their numbers. The one with the largest number wins and compares her number with player 3, and so on. Find the probability that player 1 wins m times. Hint: Use that, for every subset of numbers chosen uniformly at random, all the possible permutations of these numbers are equally likely. 1nl and define
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assume that the numbers 112 rundamly giien to players & player a compare theis e ane with the Jargest numbe Here pleeyem numbers plester win& tesmpares hear mumber with plyen 23 e ll outcomes are equidly dilcel Then is equipmhable Sumple Spec ecic 2 pf These numben are amy given hea it has m Sample pOIN+S Parobabi these numbers are equilly Jilkelsye- m ime number op sampie Points ; number f Sample points in nymberr of faversble cases to quent A numbes of POSsible casesprobability of each player is equally likely that is 0.5

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