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Quantitative Reasoning: Probability Flashcards

7 cards from real DAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. Given that a card drawn is red, what is the probability it is a heart?

    Answer: 1/2

    Of 26 red cards, 13 are hearts, so 13/26 = 1/2.

  2. A test has 5 true/false questions. What is the probability of guessing all correctly?

    Answer: 1/32

    Each is 1/2, so (1/2)^5 = 1/32.

  3. An urn has 3 red and 7 blue balls. Two are drawn without replacement. What is the probability both are red?

    Answer: 1/15

    (3/10) × (2/9) = 6/90 = 1/15.

  4. If P(A) = 0.7, what are the odds in favor of A?

    Answer: 7 to 3

    Odds in favor are 0.7 to 0.3, or 7 to 3.

  5. A die is rolled twice. What is the probability of getting a 6 on at least one roll?

    Answer: 11/36

    1 − (5/6)² = 1 − 25/36 = 11/36.

  6. A class has 12 boys and 8 girls. What is the probability a randomly chosen student is a girl?

    Answer: 2/5

    There are 8 girls out of 20 students, so 8/20 = 2/5.

  7. What is the probability of drawing a face card (J, Q, K) from a standard deck?

    Answer: 3/13

    There are 12 face cards, so 12/52 = 3/13.