A discrete mathematics problem by Saurabh Jain

Mr. Betsy predicts the order in which the wickets of the players of his favorite team should fall in an ODI cricket match. The team looses atleast 1 wicket and no batsman gets retired hurt during the innings. If Mr. Betsy knows the batting order of the team, what is the probability that he would get his prediction right? (Assume the probability of getting out of all the players in the team is the same).

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