(A ) and (B ) are two candidates seeking admission in a college. The probability that (A ) is selected is 0.7 and the probability that exactly one of them is selected is ( 0 . 6 ). Find the probability that (B ) is selected.

Step-by-step solution

Given, (P(A)=0.7 ) Probability of exactly one of them is selected (=0.6 ) ( gathered P[( A B ) ( A B )]=0.6 P(A)+P(B)-2 P(A B)=0.6 0.7+P(B)-2 P(A) P(B)=0.6 [ A, B are independent events ] P(B)-2 (0.7) P(B)=0.6-0.7 P(B)- 7 5 P(B)=-0.1 -2 5 P(B)= -1 10 P(B)= 1 4 P(B)=0.25 gathered ) Hence, option (c) is correct.