A single card is drawn from a standard deck of cards. Find the probability if the given information is known about the chosen card. A face card is a jack, queen, or king.
There are two black jacks in a set of cards. There are 52 cards in a set.
There is a basic rule in probability that, if all events are equally likely, then the probability of a given event is the number of ways that event can happen, divided by the total number of events.
For example the probability of rolling a three in one dice roll is 1 / 6 because there's one way to roll a three, and 6 possible outcomes. 1 / 6.
So, how many ways can you get a black jack?
And how many outcomes are possible over all?
Then divide the first, by the second.
To find the probability of drawing a face card from a standard deck of cards, we first need to determine the number of face cards in the deck and the total number of cards in the deck.
In a standard deck of cards, there are 4 suits (hearts, diamonds, clubs, spades) and each suit contains 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King).
Since there are 3 face cards in each suit (Jack, Queen, King), the total number of face cards in the deck is 3 * 4 = 12.
The total number of cards in a standard deck is 4 * 13 = 52.
Therefore, the probability of drawing a face card is given by the ratio of the number of favorable outcomes (12 face cards) to the total number of possible outcomes (52 cards):
Probability = Number of face cards / Total number of cards
= 12 / 52
= 3 / 13
So, the probability of drawing a face card from a standard deck of cards is 3/13.