Free Grade 3 Probability Scale in Context Essentials Lesson Plans
Free Grade 3 lesson plans for Probability Scale in Context Essentials: 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
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain probability scale in context essentials
Explain probability scale in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate probability scale in context essentials
Calculate probability scale in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare probability scale in context essentials
Compare probability scale in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify probability scale in context essentials
Justify probability scale in context essentials 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 Probability Scale in Context Essentials 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 4 red, 1 blue and 0 green counters. One is picked at random. Find P(red).[1]
- 2.A bag has 7 red, 2 blue and 5 green counters. One is picked at random. Find P(red).[1]
- 3.A bag has 6 red, 3 blue and 3 green counters. One is picked at random. Find P(red).[1]
- 4.A bag has 8 red, 6 blue and 2 green counters. One is picked at random. Find P(red).[1]
- 5.A bag has 1 red, 6 blue and 0 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 6.A bag has 8 red, 5 blue and 4 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 7.A bag has 4 red, 4 blue and 3 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 8.A bag has 7 red, 2 blue and 0 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 1 red and 2 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 3 red and 7 blue counters. Two are picked with replacement. Find P(both red).[3]
Show answers and working
1. P(red) = 4/5
Total counters = 5. P(red) = 4/5 = 4/5.
2. P(red) = 1/2
Total counters = 14. P(red) = 7/14 = 1/2.
3. P(red) = 1/2
Total counters = 12. P(red) = 6/12 = 1/2.
4. P(red) = 1/2
Total counters = 16. P(red) = 8/16 = 1/2.
5. P(red) = 1/7, P(not red) = 6/7
Total counters = 7. P(red) = 1/7 = 1/7. P(not red) = 1 − 1/7 = 6/7.
6. P(red) = 8/17, P(not red) = 9/17
Total counters = 17. P(red) = 8/17 = 8/17. P(not red) = 1 − 8/17 = 9/17.
7. P(red) = 4/11, P(not red) = 7/11
Total counters = 11. P(red) = 4/11 = 4/11. P(not red) = 1 − 4/11 = 7/11.
8. P(red) = 7/9, P(not red) = 2/9
Total counters = 9. P(red) = 7/9 = 7/9. P(not red) = 1 − 7/9 = 2/9.
9. 16/49
P(red) = 8/14 each time. Independent, so multiply: 8/14 × 8/14 = 16/49.
10. 1/9
P(red) = 1/3 each time. Independent, so multiply: 1/3 × 1/3 = 1/9.
11. 9/16
P(red) = 3/4 each time. Independent, so multiply: 3/4 × 3/4 = 9/16.
12. 9/100
P(red) = 3/10 each time. Independent, so multiply: 3/10 × 3/10 = 9/100.
Worked examples
A bag has 7 red, 5 blue and 1 green counters. One is picked at random. Find P(red).
- Total counters = 13.
- P(red) = 7/13 = 7/13.
- Answer: P(red) = 7/13
A bag has 7 red, 2 blue and 5 green counters. One is picked at random. Find P(red) and P(not red).
- Total counters = 14.
- P(red) = 7/14 = 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 2 blue counters. Two are picked with replacement. Find P(both red).
- P(red) = 5/7 each time.
- Independent, so multiply: 5/7 × 5/7 = 25/49.
- Answer: 25/49
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.
Every free resource for Probability Scale in Context Essentials
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Probability Scale in Context Essentials lesson plan really free?
- Yes. Every lesson plans 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 Working with Probability Scale. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Probability Scale in Context Essentials?
- Move on to Probability Scale in Context Techniques, Probability Scale in Context Word Problems, Probability Scale in Context Common Errors, Introducing Probability Scale, which build directly on this idea.
Related resources
Stuck on Probability Scale in Context Essentials? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor