Lesson 2.04c

2.04c Binomial probabilities Quiz: OCR Maths, Unit 14

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 2.04c, Binomial probabilities: 20 multiple choice questions for the OCR Maths (H240), Unit 14: Statistical Distributions, written with Revision Ninja.

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The 20 questions

  1. In the notation X ~ B(n, p), what does n represent?

    • Probability of success
    • Number of successes
    • Number of trials
    • Expected variance

  2. In the notation X ~ B(n, p), what does p represent?

    • Number of failures
    • Expected value
    • Success probability
    • Trial count

  3. Which assumption requires trials to not affect each other in a binomial distribution?

    • Binary outcomes
    • Fixed trials
    • Independence
    • Constant probability

  4. How many possible outcomes must each trial have for a binomial model?

    • Exactly two
    • Exactly one
    • At least two
    • Any number

  5. In the binomial probability formula, what does the symbol x represent?

    • Number of trials
    • Standard deviation
    • Number of successes
    • Success probability

  6. What must remain constant for every single trial in a binomial distribution?

    • Probability of success
    • Number of successes
    • Sample size
    • Critical value

  7. What does the expression 1 - p represent in a binomial probability model?

    • Failure probability
    • Number of successes
    • Success probability
    • Total trials

  8. Which combination symbol gives the number of ways to choose x successes from n trials?

    • nCr
    • n factorial
    • p^x
    • nPr

  9. If random variable X ~ B(10, 0.2), what is the value of parameter n?

    • 10
    • 0.8
    • 0.2
    • 2

  10. For a random variable X ~ B(8, 0.5), how is P(X = 0) written?

    • 0.5
    • 0.5^8
    • 4.0
    • 8^0.5

  11. A fair coin is flipped 5 times. Which binomial model describes heads count X?

    • B(0.5, 5)
    • N(5, 0.5)
    • B(5, 0.5)
    • B(5, 0.2)

  12. Which mathematical expression is equivalent to P(X >= 1) for binomial variable X?

    • 1 + P(X = 0)
    • P(X = 0)
    • 1 - P(X = 0)
    • 1 - P(X = 1)

  13. Sampling without replacement from a small population violates which key binomial assumption?

    • Two outcomes
    • Fixed trials
    • Independence
    • Integer values

  14. If variable X ~ B(6, 0.3), which calculation evaluates P(X = 2)?

    • 15 * 0.3^4 * 0.7^2
    • 15 * 0.3^2 * 0.7^4
    • 20 * 0.3^2 * 0.7^4
    • 6 * 0.3^2 * 0.7^4

  15. What is the simplified value of the binomial expression 5C5 * p^5 * (1-p)^0?

    • 1 - p^5
    • 5 * p^5
    • 0
    • p^5

  16. Which inequality expression represents the event of obtaining fewer than 4 successes?

    • X > 4
    • X <= 4
    • X < 4
    • X >= 4

  17. If random variable X ~ B(4, 0.5), what is the exact probability P(X = 2)?

    • 0.25
    • 0.125
    • 0.5
    • 0.375

  18. If X ~ B(4, p) and P(X = 4) = 0.0016, what is the value of p?

    • 0.04
    • 0.2
    • 0.4
    • 0.8

  19. Which calculator cumulative probability operation is used to find P(X >= 3)?

    • 1 - P(X < 2)
    • P(X <= 3)
    • 1 - P(X <= 2)
    • 1 - P(X <= 3)

  20. A fair die is rolled 3 times. What is the probability of rolling exactly 1 six?

    • 25/216
    • 1/6
    • 15/216
    • 75/216

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