Free Grade 3 Introducing Equally Likely Outcomes Quizzes
Free Grade 3 quizzes for Introducing Equally Likely Outcomes: 12 real questions with a full answer key and worked solutions. Probability measures how likely something is, from 0 (impossible) to 1 (certain). P(event) = favourable outcomes ÷ total outcomes. For independent events, multiply.
Free
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing equally likely outcomes
Explain introducing equally likely outcomes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing equally likely outcomes
Calculate introducing equally likely outcomes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing equally likely outcomes
Compare introducing equally likely outcomes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing equally likely outcomes
Justify introducing equally likely outcomes accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Introducing Equally Likely Outcomes works
Probability measures how likely something is, from 0 (impossible) to 1 (certain). P(event) = favourable outcomes ÷ total outcomes. For independent events, multiply.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.A bag has 6 red, 2 blue and 3 green counters. One is picked at random. Find P(red).[1]
- 2.A bag has 2 red, 7 blue and 2 green counters. One is picked at random. Find P(red).[1]
- 3.A bag has 6 red, 5 blue and 1 green counters. One is picked at random. Find P(red).[1]
- 4.A bag has 5 red, 1 blue and 0 green counters. One is picked at random. Find P(red).[1]
- 5.A bag has 6 red, 8 blue and 1 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 6.A bag has 7 red, 3 blue and 5 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 7.A bag has 7 red, 3 blue and 2 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 8.A bag has 2 red, 6 blue and 3 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 9.A bag has 8 red and 6 blue counters. Two are picked with replacement. Find P(both red).[3]
- 10.A bag has 6 red and 8 blue counters. Two are picked with replacement. Find P(both red).[3]
- 11.A bag has 3 red and 1 blue counters. Two are picked with replacement. Find P(both red).[3]
- 12.A bag has 1 red and 8 blue counters. Two are picked with replacement. Find P(both red).[3]
Show answers and working
1. P(red) = 6/11
Total counters = 11. P(red) = 6/11 = 6/11.
2. P(red) = 2/11
Total counters = 11. P(red) = 2/11 = 2/11.
3. P(red) = 1/2
Total counters = 12. P(red) = 6/12 = 1/2.
4. P(red) = 5/6
Total counters = 6. P(red) = 5/6 = 5/6.
5. P(red) = 2/5, P(not red) = 3/5
Total counters = 15. P(red) = 6/15 = 2/5. P(not red) = 1 − 2/5 = 3/5.
6. P(red) = 7/15, P(not red) = 8/15
Total counters = 15. P(red) = 7/15 = 7/15. P(not red) = 1 − 7/15 = 8/15.
7. P(red) = 7/12, P(not red) = 5/12
Total counters = 12. P(red) = 7/12 = 7/12. P(not red) = 1 − 7/12 = 5/12.
8. P(red) = 2/11, P(not red) = 9/11
Total counters = 11. P(red) = 2/11 = 2/11. P(not red) = 1 − 2/11 = 9/11.
9. 16/49
P(red) = 8/14 each time. Independent, so multiply: 8/14 × 8/14 = 16/49.
10. 9/49
P(red) = 6/14 each time. Independent, so multiply: 6/14 × 6/14 = 9/49.
11. 9/16
P(red) = 3/4 each time. Independent, so multiply: 3/4 × 3/4 = 9/16.
12. 1/81
P(red) = 1/9 each time. Independent, so multiply: 1/9 × 1/9 = 1/81.
Worked examples
A bag has 2 red, 8 blue and 3 green counters. One is picked at random. Find P(red).
- Total counters = 13.
- P(red) = 2/13 = 2/13.
- Answer: P(red) = 2/13
A bag has 5 red, 4 blue and 1 green counters. One is picked at random. Find P(red) and P(not red).
- Total counters = 10.
- P(red) = 5/10 = 1/2.
- P(not red) = 1 − 1/2 = 1/2.
- Answer: P(red) = 1/2, P(not red) = 1/2
A bag has 7 red and 6 blue counters. Two are picked with replacement. Find P(both red).
- P(red) = 7/13 each time.
- Independent, so multiply: 7/13 × 7/13 = 49/169.
- Answer: 49/169
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Writes probability as a ratio like 3:5.
Correction: Use a fraction, decimal or percentage.
Adds probabilities for 'and' events.
Correction: 'And' means multiply when events are independent.
Teacher tips
- · Run real experiments with dice and compare to theory.
Parent tips
- · Talk about the chance of rain from the forecast.
Real-life applications
- · Weather forecasts, games, insurance.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Equally Likely Outcomes quiz really free?
- Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Probability Scale. Each one has its own free lesson, worksheet and quiz.
- How is the quiz sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing Equally Likely Outcomes?
- Move on to Working with Equally Likely Outcomes, Equally Likely Outcomes in Context, Probability Scale, Relative Frequency, which build directly on this idea.
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