Practice Test GeeksAMC 8 - American Mathematics Competition 8 Practice Test
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Probability & Counting Flashcards

6 cards from real AMC 8 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 & Counting flashcards as text

  1. A bag has 3 red and 5 blue marbles. What is the probability of randomly drawing a red marble?

    Answer: 3/8

    There are 3 red marbles out of 8 total, so P(red) = 3/8.

  2. How many ways can you arrange the letters in the word CAT?

    Answer: 6

    Three distinct letters can be arranged in 3! = 3 × 2 × 1 = 6 different orders.

  3. A fair coin is tossed twice. What is the probability of getting two heads?

    Answer: 1/4

    P(HH) = (1/2) × (1/2) = 1/4.

  4. How many 2-digit numbers can be formed using digits 1, 3, 5, 7 if repetition is allowed?

    Answer: 16

    Each of the two digit positions has 4 choices, so there are 4 × 4 = 16 two-digit numbers.

  5. A standard six-sided die is rolled. What is the probability of rolling a number greater than 4?

    Answer: 1/3

    Numbers greater than 4 are 5 and 6, so P = 2/6 = 1/3.

  6. From a group of 5 students, in how many ways can 2 students be chosen for a committee?

    Answer: 10

    C(5,2) = 5!/(2! × 3!) = 10.