Practice Test GeeksIMSA - Intermediate Math Skill Assesment Practice Test
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Probability and Combinatorics Flashcards

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

Read the first 6 Probability and Combinatorics flashcards as text

  1. A bag has 4 red and 6 blue marbles. What is the probability of picking a red marble?

    Answer: 2/5

    P(red) = 4/(4+6) = 4/10 = 2/5.

  2. How many ways can you arrange 4 books on a shelf?

    Answer: 24

    The number of arrangements of 4 items is 4! = 4 × 3 × 2 × 1 = 24.

  3. A coin is flipped three times. What is the probability of getting exactly 3 heads?

    Answer: 1/8

    P(HHH) = (1/2)³ = 1/8, since each flip is independent with probability 1/2.

  4. A die is rolled. What is the probability of rolling a number greater than 4?

    Answer: 1/3

    Numbers greater than 4 on a standard die are 5 and 6, giving P = 2/6 = 1/3.

  5. How many 2-digit codes can be formed using digits 1-5 if repetition is allowed?

    Answer: 25

    Each digit can be any of 5 values, so total codes = 5 × 5 = 25.

  6. What is the probability of drawing a queen from a standard 52-card deck?

    Answer: 1/13

    There are 4 queens in 52 cards, so P = 4/52 = 1/13.