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In a carton of 20 mushrooms, 4 of th em are poisonous. If you take a...

In a carton of 20 mushrooms, 4 of th em are poisonous. If you take a sample of 15 mushrooms, what is the probability that exactly 3 of them will be poisonous?

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Answer #1

in carton : 4 poisonous, 16 non poisonous

15 in sample

3 poisonous

so, 12 non poisonous

P(3 poisonous) = (select 3 mushrooms out of 4 poisonous)*(select 12 mushrooms out of 16 poisonous) / (select 15 mushrooms out of 20)

= (4C3)*(16C12) / (20C15)

= 4 * 1820 / 15504

= 0.4696

(please upvote)

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