A salesman has a 70% hance to sell a product to any customer. The behaviour of successive is the customers is independent. If two customers A and B enter, what is the probability that the salesman will sell the product to customer A or B (A) 0.95 (B) 0.91 (C) 0.70 (D) 0.49

Options

A. 0.98
B. 0.91
C. 0.7
D. 0.49

Answer

B

Explanation

`P(A) = (70)/(100)= (7)/(10) = P(B)`
A and B are independent.
`rArr P(AnnB) = P(A)P(B)`
`rArr P(A uuB) = P(A) +P(B) - P(A nn B)`
`= (7)/(10) +(7)/(10)-(7)/(10)xx(7)/(10) = 0.91`