Printable · GCSE Foundation · ages 14-16
Relative frequency and the probability scale worksheet — GCSE Foundation
Fifteen questions on "relative frequency and the probability scale" — DfE statement P3. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Relative frequency and the probability scale worksheet — GCSE Foundation
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- 1.At a summer fair, the probability of winning at the hoopla stall is 6/10 and the probability of winning at the coconut shy is 2/10. Work out how many times as likely a player is to win at the hoopla stall as at the coconut shy.
- 2.In a trial, a drawing pin was dropped 80 times and landed point-up 52 times. Assuming this relative frequency continues, work out how many times you would expect it to land point-up in 300 drops.
- 3.A fair six-sided dice is rolled once. Work out the probability that the score is an odd number. Give your answer as a decimal.
- 4.A fair six-sided dice is rolled once. Write down the probability that the score is an even number.
- 5.The probability that Amelia's bus is late on a school morning is 9/10. Write this probability as a percentage.
- 6.One card is taken at random from an ordinary pack of 52 playing cards. 26 of the cards are red. Work out the probability that the card is red. Give your answer as a percentage.
- 7.The probability that a spinner lands on blue is 2/5. Write this probability as a percentage.
- 8.Two games at a school fete are played independently. The probability of winning game X is 3/8. The probability of winning game Y is 0.4. Which statement correctly compares the two games?
- 9.A machine produces bolts. In a sample of 250 bolts, 15 are faulty. Work out the relative frequency of a bolt being faulty, giving your answer as a fraction in its simplest form.
- 10.A fair six-sided dice is rolled once. Write down the probability of rolling a 6.
- 11.On the probability scale from 0 to 1, which word best describes an event with probability 0.9?
- 12.A fair six-sided dice is rolled once. Work out the probability that the score is greater than 4.
- 13.A bag contains 3 red counters, 2 blue counters and 2 green counters. One counter is taken at random from the bag. Work out the probability that the counter is red.
- 14.On the probability scale from 0 (impossible) to 1 (certain), evens is exactly halfway. An event is 3/10 more likely than evens. Work out the probability of that event, giving your answer as a decimal.
- 15.The probability that a pupil chosen at random has a nut allergy is 1/10. There are 30 pupils in a class. Work out how many of the 30 pupils would be expected to have a nut allergy.
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