Success Homeschool

Year 4 Mathematics · Chance experiments

Name: ______________________

Date: ____________

1. How many possible outcomes are there when you roll a standard dice numbered 1 to 6?
2. Rolling a 7 on a standard dice is …
- ☐ (a) certain
- ☐ (b) likely
- ☐ (c) unlikely
- ☐ (d) impossible
3. A spinner is half red and half blue. You spin it 20 times. About how many times would you expect red?
- ☐ (a) about 5
- ☐ (b) about 10
- ☐ (c) about 15
- ☐ (d) exactly 20
4. A spinner has 4 equal sections: 3 green and 1 yellow. Which colour is more likely?
5. Which is more likely when you roll a standard dice?
- ☐ (a) rolling a 6
- ☐ (b) rolling an even number
- ☐ (c) they are equally likely
6. Mia tosses a coin 20 times and gets 13 heads and 7 tails. What is the best conclusion?
- ☐ (a) The coin must be broken
- ☐ (b) Results vary by chance, so this does not prove the coin is unfair
- ☐ (c) Heads will always come up more often
7. What are the possible outcomes of tossing a coin?
- ☐ (a) 1, 2, 3, 4, 5, 6
- ☐ (b) heads or tails
- ☐ (c) red or blue
- ☐ (d) win or lose
8. You roll a standard dice 60 times. About how many times would you expect to roll a 3?

Answer sheet

1. 6 — The outcomes are 1, 2, 3, 4, 5 and 6.
2. impossible — A standard dice only has the numbers 1 to 6, so a 7 cannot be rolled.
3. about 10 — Red is half of the spinner, and half of 20 is 10.
4. green — Green covers 3 of the 4 equal sections, so it is more likely than yellow.
5. rolling an even number — An even number can be 2, 4 or 6 (3 outcomes), but a 6 is only 1 outcome.
6. Results vary by chance, so this does not prove the coin is unfair — Chance experiments rarely match predictions exactly. More trials would give a better picture.
7. heads or tails — A coin has two sides, so the outcomes are heads or tails.
8. 10 — Each of the 6 numbers is equally likely, so share 60 rolls into 6 equal parts: 60 ÷ 6 = 10.