23. The probabilities that A & B will die within a year are p & q respectively, then the probability that only one of them will be alive at the end of the year is :
(a) p + q (b) P + q – 2qp (c) p + q – pq (d) p + p + pq
Answer
Answer : (b)
Explanation
Explanation : No answer description available for this question. Let us discuss.
Probability » Exercise - 19. If P (A) = 0.4, P (B) = x, P (A ∪ B) = 0.7 and the events A & B are independent, then x = (a) 1/3 (b) 1/2 (c) 2/3 (d) none of these
Probability » Exercise - 111. If A & B are any two events, then the true relation is : (a) P (A ∩B) > P (A) + P (B) - 1 (b) P (A ∩B) < P (A) + P (B) (c) P (A ∩ B) = P (A) + P (B) − P (A ∪ B) (d) none of these
Probability » Exercise - 127. If A & B are two independent events such that P (A ∩ B′) = 3/25 and P (A′ ∩ B) = 8/25, then P (A) = (a) 1/5 (b) 3/8 (c) 2/5 (d) 4/5
Probability » Exercise - 113. If A & B are any two events, then the probability that exactly one of them occur is : (a) P (A) + P (B) - P (A ∩B) (b) P (A) + P (B) - 2 P (A ∩B) (c) P (A) + P (B) - P (A ∪B) (d) P (A) + P (B) - 2 P (A ∪B)
Probability » Exercise - 19. If P (A) = 0.4, P (B) = x, P (A ∪ B) = 0.7 and the events A & B are independent, then x = (a) 1/3 (b) 1/2 (c) 2/3 (d) none of these