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Probability Basics Differentiated Worksheet

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Probability Basics Differentiated Worksheet

Read each question carefully. Give fractions in simplest form where possible.

Probability Language

1.Match each event to its best probability description: a standard six-sided die shows 2; a standard six-sided die shows 9; a standard six-sided die shows a number from 1 to 6; the next day is rainy; a fair coin lands heads.
  • A standard six-sided die shows 2
  • A standard six-sided die shows 9
  • A standard six-sided die shows a number from 1 to 6
  • The next day is rainy
  • A fair coin lands heads
  • Impossible
  • Even chance
  • Possible
  • Possible
  • Certain
2.A standard six-sided die is rolled. What best describes the chance of getting a number less than 7?
  • Impossible
  • Unlikely
  • Even chance
  • Certain
3.A bag contains 2 green counters and 8 orange counters. One counter is chosen without looking. What best describes the chance of choosing green?
  • Impossible
  • Unlikely
  • Even chance
  • Certain

Probability Scale and Calculations

4.Fill in the missing values on this equally spaced probability scale.
01
5.A fair six-sided die has faces numbered 1 to 6. What is the probability of rolling an odd number? Give your answer as a fraction.
6.One letter is selected at random from the letters A, B, C, D and E. What is the probability of selecting a vowel? Give your answer as a fraction.
7.A fair coin is tossed once. What is the probability it lands tails? Give your answer as a fraction.
8.A spinner has 10 equal sections: 4 purple, 3 orange, 2 teal and 1 white. What is the probability of landing on purple? Give your answer as a fraction in simplest form.
9.For the spinner with 4 purple, 3 orange, 2 teal and 1 white equal section, which colour is most likely to come up?
10.For that same spinner, find the probability of landing on orange or teal. Give your answer as a fraction in simplest form.

Challenge Questions

11.A pouch holds 4 red, 5 blue and 3 yellow beads. One bead is selected at random. Find the probability it is not blue. Show your working.
12.At a community survey, 20 of the 32 people asked chose cycling as their favourite way to travel. If one person from the survey is selected at random, give the probability they chose cycling as (a) a fraction in simplest form, (b) a decimal, and (c) a percentage.
13.Explain what a probability of 0.75 tells you about an event. Include its equivalent fraction and describe what this suggests over many trials.

3 printable pages

  • Probability Basics Differentiated Worksheet, page 1 of 3: Probability Language

    Page 1

  • Probability Basics Differentiated Worksheet, page 2 of 3: Probability Scale and Calculations

    Page 2

  • Probability Basics Differentiated Worksheet, page 3 of 3: Challenge Questions

    Page 3

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