Free Grade 3 Working with Introducing Probability Scale Common Errors Lessons
Free Grade 3 lessons for Working with Introducing Probability Scale Common Errors: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing probability scale common errors
Identify working with introducing probability scale common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing probability scale common errors
Explain working with introducing probability scale common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing probability scale common errors
Calculate working with introducing probability scale common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing probability scale common errors
Compare working with introducing probability scale common errors 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 Working with Introducing Probability Scale Common Errors 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 7 red, 3 blue and 1 green counters. One is picked at random. Find P(red).[1]
- 2.A bag has 7 red, 8 blue and 0 green counters. One is picked at random. Find P(red).[1]
- 3.A bag has 6 red, 4 blue and 5 green counters. One is picked at random. Find P(red).[1]
- 4.A bag has 6 red, 7 blue and 1 green counters. One is picked at random. Find P(red).[1]
- 5.A bag has 6 red, 8 blue and 2 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 6.A bag has 8 red, 8 blue and 5 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 7.A bag has 5 red, 1 blue and 2 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 8.A bag has 4 red, 6 blue and 5 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 9.A bag has 3 red and 8 blue counters. Two are picked with replacement. Find P(both red).[3]
- 10.A bag has 8 red and 5 blue counters. Two are picked with replacement. Find P(both red).[3]
- 11.A bag has 5 red and 5 blue counters. Two are picked with replacement. Find P(both red).[3]
- 12.A bag has 2 red and 4 blue counters. Two are picked with replacement. Find P(both red).[3]
Show answers and working
1. P(red) = 7/11
Total counters = 11. P(red) = 7/11 = 7/11.
2. P(red) = 7/15
Total counters = 15. P(red) = 7/15 = 7/15.
3. P(red) = 2/5
Total counters = 15. P(red) = 6/15 = 2/5.
4. P(red) = 3/7
Total counters = 14. P(red) = 6/14 = 3/7.
5. P(red) = 3/8, P(not red) = 5/8
Total counters = 16. P(red) = 6/16 = 3/8. P(not red) = 1 − 3/8 = 5/8.
6. P(red) = 8/21, P(not red) = 13/21
Total counters = 21. P(red) = 8/21 = 8/21. P(not red) = 1 − 8/21 = 13/21.
7. P(red) = 5/8, P(not red) = 3/8
Total counters = 8. P(red) = 5/8 = 5/8. P(not red) = 1 − 5/8 = 3/8.
8. P(red) = 4/15, P(not red) = 11/15
Total counters = 15. P(red) = 4/15 = 4/15. P(not red) = 1 − 4/15 = 11/15.
9. 9/121
P(red) = 3/11 each time. Independent, so multiply: 3/11 × 3/11 = 9/121.
10. 64/169
P(red) = 8/13 each time. Independent, so multiply: 8/13 × 8/13 = 64/169.
11. 1/4
P(red) = 5/10 each time. Independent, so multiply: 5/10 × 5/10 = 1/4.
12. 1/9
P(red) = 2/6 each time. Independent, so multiply: 2/6 × 2/6 = 1/9.
Worked examples
A bag has 2 red, 6 blue and 4 green counters. One is picked at random. Find P(red).
- Total counters = 12.
- P(red) = 2/12 = 1/6.
- Answer: P(red) = 1/6
A bag has 8 red, 7 blue and 1 green counters. One is picked at random. Find P(red) and P(not red).
- Total counters = 16.
- P(red) = 8/16 = 1/2.
- P(not red) = 1 − 1/2 = 1/2.
- Answer: P(red) = 1/2, P(not red) = 1/2
A bag has 5 red and 4 blue counters. Two are picked with replacement. Find P(both red).
- P(red) = 5/9 each time.
- Independent, so multiply: 5/9 × 5/9 = 25/81.
- Answer: 25/81
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
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- Start with Rules and Methods in Introducing Probability Scale Common Errors, Key Vocabulary of Introducing Probability Scale Common Errors, Introducing Probability Scale Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Move on to Introducing Probability Scale Common Errors in Examinations, Introducing Probability Scale Essentials, Introducing Probability Scale Techniques, Introducing Probability Scale Word Problems, which build directly on this idea.
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