Free Grade 3 Introducing Probability Scale Techniques Flashcards
Free Grade 3 flashcards for Introducing Probability Scale Techniques: 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.
- UnderstandExplain introducing probability scale techniques
Explain introducing probability scale techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing probability scale techniques
Calculate introducing probability scale techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing probability scale techniques
Compare introducing probability scale techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing probability scale techniques
Justify introducing probability scale techniques 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 Probability Scale Techniques 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, 3 blue and 1 green counters. One is picked at random. Find P(red).[1]
- 2.A bag has 1 red, 2 blue and 1 green counters. One is picked at random. Find P(red).[1]
- 3.A bag has 2 red, 6 blue and 0 green counters. One is picked at random. Find P(red).[1]
- 4.A bag has 3 red, 8 blue and 4 green counters. One is picked at random. Find P(red).[1]
- 5.A bag has 2 red, 7 blue and 2 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 6.A bag has 8 red, 7 blue and 3 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 7.A bag has 6 red, 8 blue and 0 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 8.A bag has 4 red, 5 blue and 1 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 9.A bag has 1 red and 3 blue counters. Two are picked with replacement. Find P(both red).[3]
- 10.A bag has 5 red and 2 blue counters. Two are picked with replacement. Find P(both red).[3]
- 11.A bag has 3 red and 7 blue counters. Two are picked with replacement. Find P(both red).[3]
- 12.A bag has 7 red and 8 blue counters. Two are picked with replacement. Find P(both red).[3]
Show answers and working
1. P(red) = 3/5
Total counters = 10. P(red) = 6/10 = 3/5.
2. P(red) = 1/4
Total counters = 4. P(red) = 1/4 = 1/4.
3. P(red) = 1/4
Total counters = 8. P(red) = 2/8 = 1/4.
4. P(red) = 1/5
Total counters = 15. P(red) = 3/15 = 1/5.
5. 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.
6. P(red) = 4/9, P(not red) = 5/9
Total counters = 18. P(red) = 8/18 = 4/9. P(not red) = 1 − 4/9 = 5/9.
7. P(red) = 3/7, P(not red) = 4/7
Total counters = 14. P(red) = 6/14 = 3/7. P(not red) = 1 − 3/7 = 4/7.
8. P(red) = 2/5, P(not red) = 3/5
Total counters = 10. P(red) = 4/10 = 2/5. P(not red) = 1 − 2/5 = 3/5.
9. 1/16
P(red) = 1/4 each time. Independent, so multiply: 1/4 × 1/4 = 1/16.
10. 25/49
P(red) = 5/7 each time. Independent, so multiply: 5/7 × 5/7 = 25/49.
11. 9/100
P(red) = 3/10 each time. Independent, so multiply: 3/10 × 3/10 = 9/100.
12. 49/225
P(red) = 7/15 each time. Independent, so multiply: 7/15 × 7/15 = 49/225.
Worked examples
A bag has 3 red, 6 blue and 0 green counters. One is picked at random. Find P(red).
- Total counters = 9.
- P(red) = 3/9 = 1/3.
- Answer: P(red) = 1/3
A bag has 3 red, 3 blue and 1 green counters. One is picked at random. Find P(red) and P(not red).
- Total counters = 7.
- P(red) = 3/7 = 3/7.
- P(not red) = 1 − 3/7 = 4/7.
- Answer: P(red) = 3/7, P(not red) = 4/7
A bag has 1 red and 1 blue counters. Two are picked with replacement. Find P(both red).
- P(red) = 1/2 each time.
- Independent, so multiply: 1/2 × 1/2 = 1/4.
- Answer: 1/4
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
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- What should a learner already know before this?
- Start with Introducing Probability Scale Essentials, Statistics. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Probability Scale Techniques?
- Move on to Introducing Probability Scale Word Problems, Introducing Probability Scale Common Errors, Working with Probability Scale, Probability Scale in Context, which build directly on this idea.
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