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In a class of 28 students, the teacher selects four people at random to participate in a geography contest. What is the probability that this group of four students includes at least two of the top three geography students in the class? Express your answer as a common fraction.

 Feb 9, 2022
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If none of the top 3 are selected, then the probability is (25*24*23*22)/(28*27*26*25).

 

If only one of the top are selected, then the probability is (3*25*24*23)/(28*27*26*25).

 

Adding them up, and subtracting the total from 1, the final answer is 244/819.

 Feb 9, 2022

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