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Theoretical Probability from a Sample Space (Year 9)

Free printable NZ Year 9 maths worksheet: find the theoretical probability of events for two dice, a coin and die, and an equal-sector spinner.

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Grade 8 · Math worksheet
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Math

Theoretical Probability from a Sample Space

Find the theoretical probability of each event. Give every answer as a fraction in simplest form.

  1. 1.
    Two fair six-sided dice are rolled. Find the probability that at least one die shows a 6. Give your answer as a fraction in simplest form.
  2. 2.
    Two fair six-sided dice are rolled. Find the probability that the sum is greater than 6. Give your answer as a fraction in simplest form.
  3. 3.
    Two fair six-sided dice are rolled. Find the probability that the two dice show the same number (a double). Give your answer as a fraction in simplest form.
  4. 4.
    Two fair six-sided dice are rolled. Find the probability that both dice show an even number. Give your answer as a fraction in simplest form.
  5. 5.
    A fair coin is flipped and a fair six-sided die is rolled. Find the probability of getting tails and an odd number. Give your answer as a fraction in simplest form.
  6. 6.
    A fair coin is flipped and a fair six-sided die is rolled. Find the probability of getting heads and a number less than 3. Give your answer as a fraction in simplest form.
  7. 7.
    A fair coin is flipped and a fair six-sided die is rolled. Find the probability of getting heads and an even number. Give your answer as a fraction in simplest form.
  8. 8.
    A fair coin is flipped and a fair six-sided die is rolled. Find the probability of getting tails and a number greater than 5. Give your answer as a fraction in simplest form.
  9. 9.
    A fair spinner is divided into 7 equal sectors coloured white, purple, green, blue, pink, red, orange. Find the probability the spinner lands on red.
  10. 10.
    A fair spinner is divided into 8 equal sectors coloured red, blue, orange, purple, white, pink, green, yellow. Find the probability the spinner lands on blue.
  11. 11.
    A fair spinner is divided into 6 equal sectors coloured blue, white, purple, green, red, pink. Find the probability the spinner lands on blue.
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