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. What is the probability of NOT rolling a 3 on a standard die?

    Answer: 5/6

    P(not 3) = 1 − P(3) = 1 − 1/6 = 5/6.

  2. In how many ways can a president and vice president be chosen from 8 candidates?

    Answer: 56

    Order matters, so P(8,2) = 8 × 7 = 56.

  3. A family has 3 children. What is the probability that all 3 are girls (assuming equal probability)?

    Answer: 1/8

    P(GGG) = (1/2)³ = 1/8, since each birth is independent.

  4. A lottery requires picking 2 numbers from 1−10 without replacement. How many combinations are possible?

    Answer: 45

    C(10,2) = 10!/(2! × 8!) = (10 × 9)/2 = 45.

  5. If P(A) = 0.6, what is P(not A)?

    Answer: 0.4

    P(not A) = 1 − P(A) = 1 − 0.6 = 0.4.

  6. Which of the following equals C(5,2)?

    Answer: 10

    C(5,2) = 5!/(2! × 3!) = (5 × 4)/(2 × 1) = 10.