If two cards are drawn with replacement from a deck of 52, $P[X = 2]$ where $X$ = number of aces equals:
A$24/169$
B$1/52$
C$1/169$
D$144/169$
Answer & Solution
Correct answer: C. $1/169$
$P[\text{ace}] = 4/52 = 1/13$. With replacement, draws are independent: $P[X=2] = (1/13)^2 = 1/169$.
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