Question

Three cards are drawn from a standard deck of 52 playing cards. Recall that there are 4 suits with 13 cards each. After each card is drawn, the card is replaced and the deck is shuffled. What is the probability that the first card is a club, the second card is a 3 and the third card is red??

Answer 1

1/104

Explanation:

Probability that the first card is a club = 1/4. (There are 13 club cards in the deck, and 13/52 = 1/4).

Probability that the second card is a 3 = 1/13. (There are four 3 cards in the deck, and 4/52 = 1/13).

Probability that the third card is red = 1/2. (There are 26 red cards in the deck, and 26/52 = 1/2).

Probability that the first card is a club, the second card is a 3, and the third card is red = 1/4 * 1/13 * 1/2

= 1/104