card is drawn from a deck of 52 cards. Find the probability that the card drawn is a face card.
Question
card is drawn from a deck of 52 cards. Find the probability that the card drawn is a face card.
Solution
To find the probability that the card drawn is a face card, we need to determine the number of face cards in a deck of 52 cards and divide it by the total number of cards in the deck.
Step 1: Determine the number of face cards in a deck. In a standard deck of 52 cards, there are 12 face cards: 3 face cards (Jack, Queen, King) in each of the 4 suits (hearts, diamonds, clubs, spades).
Step 2: Calculate the probability. The probability of drawing a face card can be calculated by dividing the number of face cards by the total number of cards in the deck. Probability = Number of face cards / Total number of cards
Number of face cards = 12 Total number of cards = 52
Probability = 12 / 52
Step 3: Simplify the fraction (if possible). The fraction 12/52 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. Probability = 3 / 13
Therefore, the probability that the card drawn is a face card is 3/13.
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