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In: Statistics and Probability

A class in probability theory consists of 3 men and 5 women. An exam is given,...

A class in probability theory consists of 3 men and 5 women. An exam is given, and the students are ranked according to their performance. Assuming that no two students obtain the same score, and all rankings are considered equally likely.

1.The probability that women receive the bottom 5 scores is

2.The probability that the top grade and the bottom grade are for men is

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