Success Homeschool

Year 6 Mathematics · Chance experiments

Name: ______________________

Date: ____________

1. What are the possible outcomes when you roll a standard six-sided die?
- ☐ (a) 1, 2, 3, 4, 5, 6
- ☐ (b) 1 to 12
- ☐ (c) Heads or tails
- ☐ (d) 0 to 6
2. A fair coin is flipped 50 times. About how many heads would you expect?
- ☐ (a) 5
- ☐ (b) 25
- ☐ (c) 50
- ☐ (d) 10
3. A spinner is half red, one quarter blue and one quarter yellow. Which colour is it most likely to land on?
- ☐ (a) Red
- ☐ (b) Blue
- ☐ (c) Yellow
- ☐ (d) They are all equally likely
4. A bag has 3 red marbles and 1 blue marble. One marble is picked without looking. Which statement is true?
- ☐ (a) Red and blue are equally likely.
- ☐ (b) Red is more likely than blue.
- ☐ (c) Blue is more likely than red.
- ☐ (d) Red is certain.
5. How many possible outcomes are there when you flip a coin?
6. A spinner has 5 equal sections numbered 1 to 5. It is spun 100 times. About how many times would you expect it to land on 3?
7. A die is rolled 60 times. About how many times would you expect to roll a 6?
8. Lily rolled a die 12 times and got a six only once, but she expected about 2 sixes. What is the best explanation?
- ☐ (a) The die must be broken.
- ☐ (b) Results from a small number of trials often differ from what we expect.
- ☐ (c) Rolling a six is impossible.
- ☐ (d) She should always get exactly 2 sixes in 12 rolls.

Answer sheet

1. 1, 2, 3, 4, 5, 6 — A standard die has six faces numbered 1 to 6, so there are six possible outcomes.
2. 25 — Heads and tails are equally likely, so we expect about half: 50 ÷ 2 = 25.
3. Red — Red takes up half the spinner, more than blue or yellow, so it is the most likely outcome.
4. Red is more likely than blue. — There are 3 red marbles and only 1 blue, so red is more likely. It is not certain, because blue could still be picked.
5. 2 — A coin can land heads or tails, so there are 2 outcomes.
6. 20 — Each of the 5 numbers is equally likely, so we expect each about 100 ÷ 5 = 20 times.
7. 10 — Each of the 6 numbers is equally likely, so we expect each about 60 ÷ 6 = 10 times.
8. Results from a small number of trials often differ from what we expect. — Chance results vary, especially over only 12 trials. Getting 1 six instead of 2 is very common.