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If 3 suspects who committed a burglary and 6 innocent persons are lined up, what is the probability that a witness who is not sure and has to pick three persons will pick the three suspects by chance? That the witness picks 3 innocent persons by chance?

Verified Answer :

the number of ways you can pick 3 people from 9 = 987 / 321 = 84

So chance of picking the 3 suspects = 1 / 84.

The number of ways to pick 3 from the 6 innocent people = 654 / 321 = 20

Chances of picking 3 innocent people = 20 / 84  or 5/21

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