Question

There were 100 people interviewed. Of them 35 are alcoholics, 28 are smokers and 5 do...

There were 100 people interviewed. Of them 35 are alcoholics, 28 are smokers and 5 do both things.

a. If one of this people are selected, what are the probabilities that he has at least one of the conditions?
Math   Statistics-And-Probability   
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Answer #1

SOLUTION:

Let A,S denote the events that the person is Alcoholic and Smoker repectively.

Given, n=100 , n(A)=35 and n(S)=28

Also,

(a)

So,

Thus, If one of this people are selected, the probability that he has at least one of the conditions is 0.58.

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