# 5 students out of 20 get and A. 3 students of the 20 are picked at random. what is the formula to find out the chances of all 3 picked students getting and A?

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• adam johnson Aug 01, 2013

Thanks answer is 1 over 114. 5 out of 20, times 4 out of 19, times 3 out of 18, simplified so 60 divided by 6840. :)

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The chance of the first pick having gotten an A is 5 out of 20. The chance of the second pick having gotten an A, assuming the first pick also got an A, is 4 out of 19. The chance of the third pick having gotten an A, assuming the first two also got As, is 3 out of 18. Multiply the three together to get the chances of all three picks having gotten As.

Posted on Aug 01, 2013

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