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A room contains 22 people. 4 are males and the others are female. A random sample...

A room contains 22 people. 4 are males and the others are female. A random sample of 8 people is drawn without replacement. What is the probability there are fewer than 2 males in the sample?

Round your answer to at least 3 decimal places.

   

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Answer #1

There are total 22 people, 8 can be selected in 22C8 ways

Fewer than 2 males can be selected in 4C0*18C8 + 4C1*18C7 ways

Required probability = (4C0*18C8 + 4C1*18C7)/22C8
= 0.535

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