Question

Statement-1: the probability of drawing either a king or an ace from a pack of 52 playing cards is 2/13. Statement-2: For any two events A and B, P(A∪B)=P(A)+P(B)-P(A∩B) A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1. C. Statement-1 is True, Statement-2 is False. D. Statement-1 is False, Statement-2 is True. Select the correct answer from above options

Answer 1

Correct Answer - A Clearly, statement -2 is true . (see theory). Consider the following events . A = Getting a king ia draw, B =- Getting an ace in a draw Clearly, P(A)= 1/13,P(B)= 1/ 13, P ( A cap B) =0 Requird propbability = P(∪B) P(A)+P(B)-P(A∪B)= 1 13 + 1 13 = 2 13