Question

Two cards are chosen at random from a standard 52-card deck. What is the probability that both are face cards (jacks, queens, or kings)?

1) 1/221
2) 3/221
3) 12/221
4) 16/221

Answer 1

The probability of choosing two face cards from a standard 52-card deck is 1/20.

Step-by-step explanation:

To find the probability that both cards are face cards, we need to find the number of ways to choose 2 face cards out of the 12 face cards in the deck and divide it by the total number of ways to choose 2 cards from a deck of 52 cards.

The number of ways to choose 2 face cards out of 12 is given by the combination formula: C(12, 2) = 12! / (2!(12-2)!) = 66.

The total number of ways to choose 2 cards from a deck of 52 cards is given by the combination formula: C(52, 2) = 52! / (2!(52-2)!) = 1326.

Therefore, the probability that both cards are face cards is 66/1326 = 1/20, which is not one of the options provided. So the correct answer is not listed.