JEE PYQ: Probability Question 41
Question 41 - 2019 (09 Jan Shift 1)
Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let $X$ denote the random variable of number of aces obtained in the two drawn cards. Then $P(X = 1) + P(X = 2)$ equals:
(1) $49/169$
(2) $52/169$
(3) $24/169$
(4) $25/169$
Show Answer
Answer: (4)
Solution
$P(X=1) = 2 \times \frac{4}{52} \times \frac{48}{52} = \frac{24}{169}$. $P(X=2) = \frac{4}{52} \times \frac{4}{52} = \frac{1}{169}$. Sum $= \frac{25}{169}$.
BETA
