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,
$P(A ∪ B) = P(A) +P(B) - P(A ∩ B)$
Answer & explanation
Correct answer: option 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 $= P(A ∪ B)$
$=P(A)+P(B)-P(A ∩ B)=\frac{1}{13}+\frac{1}{13}=\frac{2}{13}$