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Probability and Distributions Flashcards

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

Read the first 7 Probability and Distributions flashcards as text

  1. A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of drawing a blue marble?

    Answer: 3/12

    There are 3 blue marbles out of 4+3+5=12 total, so the probability is 3/12 = 1/4.

  2. Two fair dice are rolled. What is the probability of getting a sum of exactly 7?

    Answer: 1/6

    There are 6 ways to get a sum of 7 out of 36 total outcomes, giving 6/36 = 1/6.

  3. If P(A) = 0.4 and P(B) = 0.5 and A and B are mutually exclusive, what is P(A or B)?

    Answer: 0.9

    For mutually exclusive events, P(A or B) = P(A) + P(B) = 0.4 + 0.5 = 0.9.

  4. A normal distribution has mean 50 and standard deviation 10. Approximately what percentage of values fall between 40 and 60?

    Answer: 68%

    Values within one standard deviation (40 to 60) of the mean cover approximately 68% of a normal distribution.

  5. A spinner has 8 equal sections numbered 1–8. What is the probability of landing on an even number?

    Answer: 1/2

    Even numbers are 2,4,6,8 — that's 4 out of 8 sections, giving probability 4/8 = 1/2.

  6. Which of the following describes a discrete probability distribution?

    Answer: Number of emails received per day

    Number of emails is countable and takes only whole-number values, making it a discrete distribution.

  7. A card is drawn at random from a standard 52-card deck. What is the probability it is a face card (Jack, Queen, or King)?

    Answer: 3/13

    There are 12 face cards (3 per suit × 4 suits) out of 52, giving 12/52 = 3/13.