ACT Math · Probability and counting
A standard deck of 52 cards is shuffled, and one card is drawn. What is the probability of drawing a face card (jack, queen, or king)?
A standard deck of 52 cards is shuffled, and one card is drawn. What is the probability of drawing a face card (jack, queen, or king)?
Answer and explanation
Answer: B: 3/13
The face cards are the jacks, queens, and kings. There are of them in each of the suits, so there are face cards in a deck of . The probability is , choice B. Choice A () counts the face cards in only one suit. Choice C () is the probability of drawing a specific rank-type group of cards, such as counting the aces as well. Choice D () is the probability of drawing a card from a particular suit. Count carefully which cards qualify.
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