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Celeste International School

Grade 6 · Worksheet

Probability

Mutually exclusive outcomes

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    A bag holds 17 counters and 5 of them are red. What is the probability of taking a red one?

    1. A5/17
    2. B12/17
    3. C5/12
  2. 2.

    A fair dice is rolled. What is the probability of throwing an even number?

    1. A1/2
    2. B1/3
    3. C1/6
  3. 3.

    Rolling a 1 and rolling a 3 on the same throw of a dice are mutually exclusive outcomes.

    True False
  4. 4.

    3 boys' names and 7 girls' names are in a bag. What is the probability, as a percentage, that the name taken is a boy's?

    %
  5. 5.

    In the word BANANA, what is the probability of picking the letter A? Give the number of A cards.

    cards
  6. 6.

    Sort each pair of outcomes.

    Write each item’s group (Mutually exclusive / Can happen together):

    • rolling a 2 and rolling a 5 on one throw
    • it rains and the wind is strong
    • a card is a king and the same card is a queen
    • a student walks to school and is late
  7. 7.

    A bag holds 6 counters and 3 of them are red. What is the probability of taking a red one?

    1. A1
    2. B1/2
  8. 8.

    A fair dice is rolled. What is the probability of throwing 5 or more?

    1. A5/6
    2. B1/3
    3. C1/6
  9. 9.

    A fair 20-sided dice has the numbers 1 to 20. How many of them are multiples of 2?

  10. 10.

    A bag holds 20 counters and 6 of them are red. What is the probability of taking one that is NOT red?

    1. A3/10
    2. B10/7
    3. C7/10
  11. 11.

    5 boys' names and 2 girls' names are in a bag. One is taken. What is the probability it is a girl's name?

    1. A5/7
    2. B2/5
    3. C2/7
  12. 12.

    A fair 20-sided dice has the numbers 1 to 20. How many of them are multiples of 3?

  13. 13.

    A fair dice is rolled. What is the probability of throwing a 6?

    1. A1/6
    2. B1/3
    3. C1/2
  14. 14.

    A fair 20-sided dice has the numbers 1 to 20. How many of them are multiples of 5?

  15. 15.

    A bag holds 8 counters and 5 of them are red. What is the probability of taking one that is NOT red?

    1. A5/8
    2. B3/8
    3. C8/3
  16. 16.

    6 boys' names and 4 girls' names are in a bag. What is the probability, as a percentage, that the name taken is a boy's?

    %
  17. 17.

    A bag holds 7 counters and 5 of them are red. What is the probability of taking a red one?

    1. A2/7
    2. B5/2
    3. C5/7
  18. 18.

    2 boys' names and 6 girls' names are in a bag. One is taken. What is the probability it is a girl's name?

    1. A1/4
    2. B3
    3. C3/4
  19. 19.

    A bag holds 11 counters and 4 of them are red. What is the probability of taking a red one?

    1. A4/11
    2. B7/11
    3. C4/7
  20. 20.

    A bag holds 24 counters and 2 of them are red. What is the probability of taking one that is NOT red?

    1. A1/12
    2. B11/12
    3. C12/11
Celeste International School

Answer key

Probability — Mutually exclusive outcomes

  1. 1.A. 5/17
  2. 2.A. 1/2
  3. 3.True
  4. 4.30 %
  5. 5.3 cards
  6. 6.rolling a 2 and rolling a 5 on one throw = Mutually exclusive; it rains and the wind is strong = Can happen together; a card is a king and the same card is a queen = Mutually exclusive; a student walks to school and is late = Can happen together
  7. 7.B. 1/2
  8. 8.B. 1/3
  9. 9.10
  10. 10.C. 7/10
  11. 11.C. 2/7
  12. 12.6
  13. 13.A. 1/6
  14. 14.4
  15. 15.B. 3/8
  16. 16.60 %
  17. 17.C. 5/7
  18. 18.C. 3/4
  19. 19.A. 4/11
  20. 20.B. 11/12