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Grade 12 Binomial Probability Worksheet with Answers

Grade 12 (US) · Year 13 (UK) · Class 12 (India) · Math

Unit 4: Probability & CountingProbabilityCCSS S-MD.A.3

Probability of exactly k successes in n independent trials. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Binomial Probability

Grade 12 · Math

Score___ / 12

Name

Class

Date

Learning goal: Probability · CCSS S-MD.A.3

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

Example

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

Answer: 1/8

  1. 1

    A player draws a winning card (1 in 3 chance). In 6 independent tries, what is the probability of exactly 3 successes? (exact fraction)

    Show your work
    Answer
  2. 2

    A player draws a winning card (1 in 3 chance). In 3 independent tries, what is the probability of exactly 2 successes? (exact fraction)

    Show your work
    Answer
  3. 3

    A player spins red on a spinner with 4 equal colors. In 3 independent tries, what is the probability of exactly 0 successes? (exact fraction)

    Show your work
    Answer
  4. 4

    A fair coin is flipped 5 times. What is the probability of exactly 5 heads?

    Show your work
    Answer
  5. 5

    A player rolls a 6 on a number cube. In 6 independent tries, what is the probability of exactly 3 successes? (exact fraction)

    Answer
  6. 6

    A player draws a winning card (1 in 3 chance). In 3 independent tries, what is the probability of exactly 0 successes? (exact fraction)

    Show your work
    Answer
  7. 7

    A fair coin is flipped 5 times. What is the probability of exactly 1 heads?

    Show your work
    Answer
  8. 8

    A player rolls a 6 on a number cube. In 3 independent tries, what is the probability of exactly 2 successes? (exact fraction)

    Answer
  9. 9

    A player spins red on a spinner with 4 equal colors. In 4 independent tries, what is the probability of exactly 0 successes? (exact fraction)

    Show your work
    Answer
  10. 10

    A player spins red on a spinner with 4 equal colors. In 5 independent tries, what is the probability of exactly 2 successes? (exact fraction)

    Show your work
    Answer
  11. 11

    A fair coin is flipped 6 times. What is the probability of exactly 5 heads?

    Show your work
    Answer
  12. 12

    A player spins red on a spinner with 4 equal colors. In 6 independent tries, what is the probability of exactly 3 successes? (exact fraction)

    Show your work
    Answer

★ Challenge corner for fast finishers

A rectangle has a diagonal of 5 and one side of 3. What is its area?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/12/binomial_probability

Answer key (click to show)
  1. 1.160/729
  2. 2.2/9
  3. 3.27/64
  4. 4.1/32
  5. 5.625/11664
  6. 6.8/27
  7. 7.5/32
  8. 8.5/72
  9. 9.81/256
  10. 10.135/512
  11. 11.3/32
  12. 12.135/1024
  13. ★12 (challenge corner)

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