Question 113

In a sample , if a person is picked up randomly, the probability that the person is a smoker is $$\frac{3}{5}$$, and that of the person being male is $$\frac{1}{2}$$ .What is the probability that the person is both male as well as a smoker ?

Solution

Let's assume the sample size is 100. Let the number of male smokers be x.

Total number of smokers = 3/5 * 100 = 60

Number of men = 1/2 * 100 = 50

Hence, number of male non-smokers is 50-x. Number of female smokers is 60-x and number of female non-smokers is x-10.

Hence, probability of a person picked at random being a smoker and a male = x/100

As we do not know the value of x, we cannot determine the probability. Hence, option D.

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