151k views
2 votes
A card is drawn from an ordinary pack of 52 playing cards. What is the probability that it is a king, given that it is a face card?

(a) 1/3
(b) 1/4
(c) 1/6
(d) 1/13

User Cyphus
by
8.5k points

1 Answer

4 votes

Final answer:

The probability of drawing a king from a standard deck of 52 cards given that the card is a face card is 1/3. This is because there are 4 kings out of 12 total face cards in the deck. The correct answer is (a) 1/3.

Step-by-step explanation:

The subject of the question is Mathematics, and it involves calculating the probability of drawing a king from an ordinary pack of 52 playing cards, given that the drawn card is a face card.

A standard deck has a total of 12 face cards, which includes jacks, queens, and kings from each suit (clubs, diamonds, hearts, and spades). Since each suit has one king, there are 4 kings in total.

To solve this, we need to calculate the conditional probability of the card being a king, given that it is a face card. The formula for conditional probability is P(A|B) = P(A ∩ B) / P(B), where A is the event that the card is a king, and B is the event that it is a face card.

In our case, P(A|B) = P(King ∩ Face Card) / P(Face Card), which is 4/12 or 1/3. Therefore, the probability is 1/3.

User Matthew Jones
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories