From a standard deck, what is the probability that the first drawn card has rank greater than 10 (J, Q, K, or A)?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

From a standard deck, what is the probability that the first drawn card has rank greater than 10 (J, Q, K, or A)?

Explanation:
Think of probability as favorable outcomes over total outcomes. The card ranks greater than 10 are Jack, Queen, King, and Ace. Each rank has 4 suits, so there are 4 × 4 = 16 favorable cards. With 52 cards in the deck, the chance of drawing one of these on the first draw is 16/52, which simplifies to 4/13. So the probability is 4/13. (You can also see this as the complement of drawing 2 through 10, which accounts for 36 cards; 1 − 36/52 = 16/52 = 4/13.)

Think of probability as favorable outcomes over total outcomes. The card ranks greater than 10 are Jack, Queen, King, and Ace. Each rank has 4 suits, so there are 4 × 4 = 16 favorable cards. With 52 cards in the deck, the chance of drawing one of these on the first draw is 16/52, which simplifies to 4/13. So the probability is 4/13. (You can also see this as the complement of drawing 2 through 10, which accounts for 36 cards; 1 − 36/52 = 16/52 = 4/13.)

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