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Find probabilities using combinations

12th grade (Year 13 in England) · 16 questions · Common Core: HSS.CP.B.9 · England: A-level Statistics

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  1. Question 1

    In a game you choose 4 different numbers from 1 to 15. Then 4 winning numbers are drawn. What is the probability that you match all 4? Give a fraction.

    Answer(as a fraction)

  2. Question 2

    A team of 3 is chosen at random from 3 girls and 6 boys. Find the probability that the team is all girls, as a fraction in simplest form.

    Answer(as a fraction)

  3. Question 3

    In a game you choose 3 different numbers from 1 to 29. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.

    Answer(as a fraction)

  4. Question 4

    A team of 2 is chosen at random from 8 girls and 6 boys. Find the probability that the team is all girls, as a fraction in simplest form.

    Answer(as a fraction)

  5. Question 5

    In a game you choose 4 different numbers from 1 to 24. Then 4 winning numbers are drawn. What is the probability that you match all 4? Give a fraction.

    Answer(as a fraction)

  6. Question 6

    A team of 2 is chosen at random from 7 girls and 6 boys. Find the probability that the team is all girls, as a fraction in simplest form.

    Answer(as a fraction)

  7. Question 7

    In a game you choose 3 different numbers from 1 to 11. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.

    Answer(as a fraction)

  8. Question 8

    A team of 2 is chosen at random from 7 girls and 7 boys. Find the probability that the team is all girls, as a fraction in simplest form.

    Answer(as a fraction)

  9. Question 9

    In a game you choose 3 different numbers from 1 to 30. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.

    Answer(as a fraction)

  10. Question 10

    A team of 3 is chosen at random from 7 girls and 6 boys. Find the probability that the team is all girls, as a fraction in simplest form.

    Answer(as a fraction)

  11. Question 11

    In a game you choose 4 different numbers from 1 to 21. Then 4 winning numbers are drawn. What is the probability that you match all 4? Give a fraction.

    Answer(as a fraction)

  12. Question 12

    A team of 3 is chosen at random from 6 girls and 6 boys. Find the probability that the team is all girls, as a fraction in simplest form.

    Answer(as a fraction)

  13. Question 13

    In a game you choose 4 different numbers from 1 to 23. Then 4 winning numbers are drawn. What is the probability that you match all 4? Give a fraction.

    Answer(as a fraction)

  14. Question 14

    A team of 2 is chosen at random from 5 girls and 4 boys. Find the probability that the team is all girls, as a fraction in simplest form.

    Answer(as a fraction)

  15. Question 15

    In a game you choose 3 different numbers from 1 to 12. Then 3 winning numbers are drawn. What is the probability that you match all 3? Give a fraction.

    Answer(as a fraction)

  16. Question 16

    A team of 3 is chosen at random from 8 girls and 8 boys. Find the probability that the team is all girls, as a fraction in simplest form.

    Answer(as a fraction)

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