Probability Quiz
15 questions · free · new questions every attempt · Updated September 26, 2026
Probability measures how likely something is, from 0 (impossible) to 1 (certain). Most school problems reduce to counting favourable outcomes and dividing by the total number of equally likely outcomes. This quiz uses bags of marbles, pairs of dice and repeated coin flips to practise exactly that.
What this quiz covers
- Simple probability as favourable ÷ total
- Counting outcomes for two dice
- Independent events such as repeated coin flips
- Simplifying probability fractions
- Checking that an answer lies between 0 and 1
- Choosing the correct total for the denominator
How to prepare
Always list or count the total number of equally likely outcomes first. For two dice there are 36. For independent events multiply the probabilities: three heads in a row is (1/2)³ = 1/8. Simplify your fraction at the end.
Sample questions with answers
These five questions show the style. Your quiz above will have different numbers each time.
- A bag has 4 red, 4 blue and 1 green marbles. What is the probability of picking a red one?
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4/9. Probability = favourable ÷ total = 4/9.
- Two fair dice are rolled. What is the probability that the sum is 11?
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1/18. There are 36 equally likely outcomes and 2 of them add up to 11.
- A fair coin is flipped 3 times. What is the probability of getting all heads?
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1/8. Each flip has probability 1/2, so the probability is (1/2)³ = 1/8.
- A card is drawn at random from a standard 52-card deck. What is the probability of drawing a heart?
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1/4. There are 13 favourable cards out of 52, so the probability is 13/52 = 1/4.
- A spinner has 12 equal sections numbered 1 to 12. What is the probability of landing on a number greater than 3?
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3/4. There are 9 favourable sections out of 12: 9/12 = 3/4.
Frequently asked questions
How do you calculate probability?
Divide the number of ways the event can happen by the total number of equally likely outcomes.
What is the probability of two heads in two flips?
1/4, since each flip is 1/2 and they are independent.
Can probability be greater than 1?
No. A probability of 1 means certain, so nothing is more likely.
Keep practising
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