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Six men in a company of 20 employees are...

Six men in a company of 20 employees are graduates. If 3 men are selected from 20 at random, what is the probability that they are all graduates? What is the probability that at least one is a graduate?

Text Solution

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`P(3)=(6C_3)/(20C_3)`
`=(6*5*4)/(20*19*18)=1/57`
P(atleast 1)=`-P(0)`
`=1-(14C_3)/(20C_3)`
`=1-91/285=194/285`.
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