5 men in a company of 15 are smokers. 3 men are chosen, find the probability that (a)all are smoker (b) non of three are smokers.
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(a) 1 by 5
(b) 4 by 5
(b) 4 by 5
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Given:
There are 15 men in the company.
5 of men are smokers
To Find:
3 men are chosen,.
(a) Find the probability that all are smokers.
(b) Non of the 3 are smokers.
(a) Find the probability that all are smokers.
Total men = 15
Total smokers = 5
P(3 men selected are smokers) = 5/15 x 4/14 x 3/13
P(3 men selected are smokers) = 2/91
a) Find the probability that all are non-smokers.
Total men = 15
Total non-smokers = 15 - 5 = 10
P(3 men selected are smokers) = 10/15 x 9/14 x 8/13
P(3 men selected are smokers) = 24/91
Answer: (a) 2/91 (b) 24/91
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