Page 2 - XII-CH13-WorkSheet

10. The probability of solving the specific problem independently by the persons A and B are 1/2 and 1/3
respectively. In case, if both the persons try to solve the problem independently, then calculate the probability that
the problem is solved.

14. Given that the events A and B are such that P(A) = 1/2, P (A ∪ B) = 3/5, and P(B) = p. Find p if
they are

(i) mutually exclusive

(ii) independent
15. An fair die is thrown double times. Assume that the event A is “odd number on the first throw” and B
the event “odd number on the second throw”. Compare the independence of the events A and B.