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, $P(A ∪ B) = P(A) +P(B) - P(A ∩ B)$ |
Statement 1 is True, Statement 2 is true; Statement 2 is a correct explanation for Statement 1. Statement 1 is True, Statement 2 is True; Statement 2 is not a correct explanation for Statement 1. Statement 1 is True, Statement 2 is False. Statement 1 is False, Statement 2 is True. |
Statement 1 is True, Statement 2 is true; Statement 2 is a correct explanation for Statement 1. |
Clearly, statement-2 is true (see theory). Consider the following events. A =Getting a king in a draw, B-Getting an ace in a draw Clearly, $P(A)=\frac{1}{13}, P(B)=\frac{1}{13}, P(A ∩ B) = 0 $ Required probability $= P(A ∪ B)$ $=P(A)+P(B)-P(A ∩ B)=\frac{1}{13}+\frac{1}{13}=\frac{2}{13}$ |