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May 5th, 2013, 11:22 AM   #1
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Interesting but very difficult probability problem

Sam is in a team of probables for olympics. There are m members in that team. But only n would get the ticket to olympics. Each member is equally talented and hence everyone has equal chance of making it to the olympics.

There are x members from Sam's state including him in the team of probables. Sam believes that he would perform well at the olympics only if at least y of his state mates are also there with him at the olympic. Calculate the probability of Sam performing well at the olympics.
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