Question

Two cards are drawn from a well shuffled pack of 52 cards. Find the probability that they are both aces if the first card is replaced.

Answer 1

The probability of drawing an ace from a well shuffled pack of 52 cards is $\dfrac{4}{52}=\dfrac{1}{13}$. Since the first card is replaced, the probability of drawing a second ace is again $\dfrac{1}{13}$. Therefore, the probability that both cards are aces is $\left(\dfrac{1}{13}\right)^2=\boxed{\dfrac{1}{169}}$.