A card is drawn at random from a deck of 52 cards. What is
a probability that it is a King, given that it is a face card (J, Q, K)?
How many face cards could you have ?
How many of those face cards are kings ?
we don't know it
all that i have only the task and i don't know how to deal with it :-( please help
Vika, How many face cards are in a deck? If you don't know, look through a deck of cards or research online.
13
Most card games consider Ace, King, Queen, and Jack as face cards. Your problem, apparently omits the ace, thus leaving three face cards in each suit.
4 * 3 = 12
i think here must be conditional probability but how to apply it
0.038
To find the probability that a randomly drawn card is a King, given that it is a face card, we need to understand the following:
- There are a total of 52 cards in a standard deck, and out of these, 12 are face cards (Jacks, Queens, and Kings), as there are 3 face cards for each of the 4 suits (clubs, diamonds, hearts, and spades).
- Out of the 12 face cards, there are 4 Kings.
Now, let's calculate the probability:
The probability of drawing a King, given that it is a face card, can be computed using the formula:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
In this case, the number of favorable outcomes is 4 (since there are 4 Kings), and the number of possible outcomes is 12 (as there are 12 face cards). Therefore:
Probability = 4 / 12
= 1 / 3
Hence, the probability that a randomly drawn card is a King, given that it is a face card, is 1/3.