A single card is drawn from a standard deck of cards. Find the following probabilities. A face card is a jack, queen, or king.

P(face card | queen) ________
P(king | face card ________

12/4= 3/1

4/12=1/3

since there is 52 cards in a deck

and you know there is 4 of each kind.
you just set it as a fraction.

...you multiply 4 by 3 to get 12 for your total of face cards.

Bes, are you working on conditional probability here?

Dear ......

this is not answer on this question, please i need from you to answer me on this question and which is:
What is the probability of selecting 3 face cards(Jack, Queen, or King) without replacing?
can you answer me please

Thanks for
you help

To find the probabilities, we need to know the total number of cards in a standard deck of cards, as well as the number of cards that satisfy the given condition.

In a standard deck, there are 52 cards, with 4 suits (hearts, diamonds, clubs, and spades) and 13 ranks (2 through 10, jack, queen, king, and ace).

1. P(face card | queen):
Given that the queen is already drawn, we need to find the probability that the next card drawn is a face card.

First, let's determine the total number of face cards in a deck:
Since each suit (hearts, diamonds, clubs, and spades) has one jack, one queen, and one king, there are a total of 3 face cards per suit. Multiply this by the 4 suits to get a total of 12 face cards in a deck.

Now, we need to determine the number of remaining face cards in the deck after the queen is drawn:
Since we already know the queen is a face card, we subtract 1 from the total number of face cards, resulting in 11 remaining face cards.

The probability of drawing a face card given that the first card drawn is a queen is:
P(face card | queen) = (number of remaining face cards) / (total number of remaining cards)
P(face card | queen) = 11 / 51

2. P(king | face card):
Given that a face card is drawn, we need to find the probability that the face card drawn is a king.

First, let's determine the total number of face cards in a deck (as we did above): 12 face cards.

The probability of drawing a king given that the first card drawn is a face card is:
P(king | face card) = (number of kings) / (number of face cards)
P(king | face card) = 4 / 12

Simplifying both probabilities:

P(face card | queen) = 11 / 51 ≈ 0.216
P(king | face card) = 4 / 12 = 1 / 3 ≈ 0.333

Therefore, the probabilities are:
P(face card | queen) ≈ 0.216
P(king | face card) ≈ 0.333