Question

two cards are drawn from a well shuffled ordinary deck of 52 cards. find the probability that they are both aces if the first card is (a) replaced (b) not replaced

Answer 1

Replacement:

$P= \frac{4}{52} \times \frac{4}{52} = \frac{1}{169}$

Not replaced:

$P=\frac{4}{52} \times \frac{3}{51}= \frac{1}{221}$