Free Grade 3 Rules and Methods in Introducing Probability Scale Common Errors: Worked Examples Worksheets
Free Grade 3 worksheets for Rules and Methods in Introducing Probability Scale Common Errors: Worked Examples: 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
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in introducing probability scale common errors: worked examples
Identify rules and methods in introducing probability scale common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in introducing probability scale common errors: worked examples
Explain rules and methods in introducing probability scale common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing probability scale common errors: worked examples
Calculate rules and methods in introducing probability scale common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing probability scale common errors: worked examples
Compare rules and methods in introducing probability scale common errors: worked examples 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 Rules and Methods in Introducing Probability Scale Common Errors: Worked Examples 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 3 red, 8 blue and 0 green counters. One is picked at random. Find P(red).[1]
- 2.A bag has 5 red, 2 blue and 2 green counters. One is picked at random. Find P(red).[1]
- 3.A bag has 2 red, 2 blue and 5 green counters. One is picked at random. Find P(red).[1]
- 4.A bag has 2 red, 5 blue and 5 green counters. One is picked at random. Find P(red).[1]
- 5.A bag has 5 red, 5 blue and 4 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 6.A bag has 6 red, 6 blue and 4 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 7.A bag has 7 red, 6 blue and 5 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 8.A bag has 7 red, 8 blue and 5 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 9.A bag has 7 red and 4 blue counters. Two are picked with replacement. Find P(both red).[3]
- 10.A bag has 6 red and 5 blue counters. Two are picked with replacement. Find P(both red).[3]
- 11.A bag has 1 red and 7 blue counters. Two are picked with replacement. Find P(both red).[3]
- 12.A bag has 8 red and 6 blue counters. Two are picked with replacement. Find P(both red).[3]
Show answers and working
1. P(red) = 3/11
Total counters = 11. P(red) = 3/11 = 3/11.
2. P(red) = 5/9
Total counters = 9. P(red) = 5/9 = 5/9.
3. P(red) = 2/9
Total counters = 9. P(red) = 2/9 = 2/9.
4. P(red) = 1/6
Total counters = 12. P(red) = 2/12 = 1/6.
5. P(red) = 5/14, P(not red) = 9/14
Total counters = 14. P(red) = 5/14 = 5/14. P(not red) = 1 − 5/14 = 9/14.
6. 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.
7. P(red) = 7/18, P(not red) = 11/18
Total counters = 18. P(red) = 7/18 = 7/18. P(not red) = 1 − 7/18 = 11/18.
8. P(red) = 7/20, P(not red) = 13/20
Total counters = 20. P(red) = 7/20 = 7/20. P(not red) = 1 − 7/20 = 13/20.
9. 49/121
P(red) = 7/11 each time. Independent, so multiply: 7/11 × 7/11 = 49/121.
10. 36/121
P(red) = 6/11 each time. Independent, so multiply: 6/11 × 6/11 = 36/121.
11. 1/64
P(red) = 1/8 each time. Independent, so multiply: 1/8 × 1/8 = 1/64.
12. 16/49
P(red) = 8/14 each time. Independent, so multiply: 8/14 × 8/14 = 16/49.
Worked examples
A bag has 7 red, 3 blue and 5 green counters. One is picked at random. Find P(red).
- Total counters = 15.
- P(red) = 7/15 = 7/15.
- Answer: P(red) = 7/15
A bag has 4 red, 7 blue and 0 green counters. One is picked at random. Find P(red) and P(not red).
- Total counters = 11.
- P(red) = 4/11 = 4/11.
- P(not red) = 1 − 4/11 = 7/11.
- Answer: P(red) = 4/11, P(not red) = 7/11
A bag has 3 red and 7 blue counters. Two are picked with replacement. Find P(both red).
- P(red) = 3/10 each time.
- Independent, so multiply: 3/10 × 3/10 = 9/100.
- Answer: 9/100
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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