Question

A card is chosen from a standard deck of 52cards. With replacement of the selected card, a second card is chosen. What is the probability that the first card is Ace and the second card is a Face card?

Answer 1

Let's find the probability of first card is Ace.

There are 4 Aces in a standard deck of 52 cards.

Therefore, the probability of selecting first card is Ace is 4/52 = 1/13

Let's find the probability of selecting second card is a face card.

There are 3*4 = 12 face cards (Excluding Aces)

So the probability of selecting  second card is a face card is = 12/52 = 3/13 (because selection of cards with replacement)

So that the probability that the first card is Ace and the second card is a Face card

= (1/13)*(3/13) = 3/169 = 0.0178