Prior Content: Decimals, Fractions, Basic Probability, Combinations, Algebraic Fractions, Tree Diagrams
Possible Next Steps: Sets
Contents
- 1.1 Dependent, Independent & Mutually Exclusive Events
- 1.2 The AND Rule (Including Set Notation)
- 1.3 The OR Rule (Including Set Notation)
- 2.1 Multiple Event Scenarios
- 2.2 Who is Hannah and Why do I Care About Her Sweets?! Algebra in Probability
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Dependent, Independent & Mutually Exclusive Events
Teaching Videos, Exercises & Activities
Tutorial Videos
Mutually Exclusive vs. Independent Events EXPLAINED in 4 minutes by Ace Tutors
Probability explained by Khan Academy
Probability – Independent and Dependent Events by The Organic Chemistry Tutor
Online Platforms (with Videos & Exercises)
- Khan Academy
- Independent events & the multiplication rule: Videos & practice
Activities & Resources
- Pixi Maths
- Probability ppt (Slides 31-33)
- Richard Tock
- Peter Mattock
Worksheets
Dr Frost Resources
Dr Frost Video
K78: Probability of Mutually Exclusive Events.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
Other Videos & Multimedia
Activities
- The Killers & Mutually Exclusive Events
- ‘I’ve got soul but I’m not a soldier’
- “He doesn’t look a thing like Jesus
But he talks like a gentlemen” - ‘Are we human or are we dancer?’ – unless this means Santa’s reindeer…
1.2 The AND Rule (Including Set Notation)
Teaching Videos, Exercises & Activities
Tutorial Videos
The Multiplication Rule of Probability – Explained by Jeremy Blitz-Jones
And & Or rule | Probability | Maths | FuseSchool by FuseSchool – Global Education
Corbett Maths Independent Events
Online Platforms (with Videos & Exercises)
- Khan Academy
- Sample spaces & compound events: Videos & practice
Activities & Resources
- Andy Lutwyche
- The Chalkface
- Goal Free Problems
- Go Teach Maths
Worksheets
- Corbettmaths
- Independent Events Practice Questions & Solutions
- Independent Events Worksheet & Solutions
- Dr Austin Maths
- CIMT MEP (online self-checking)
Dr Frost Resources
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 353c: Deal with a single chain of outcomes involving successive independent events, without using a tree diagram.
- 353e: Deal with multiple different chains of outcomes involving successive independent events, without using a tree diagram.
- 353: Exam Practice: Probability of independent and successive independent events (including tree diagrams)
Extension Materials
1.3 The OR Rule (Including Set Notation)
Teaching Videos, Exercises & Activities
Tutorial Videos
Addition rule for probability by Khan Academy
Probability – P(AUB) and Mutually Exclusive Events : ExamSolutions by ExamSolutions
Addition Rule of Probability – Explained by Jeremy Blitz-Jones
Corbett Maths The OR Rule
Online Platforms (with Videos & Exercises)
- Khan Academy
- The addition rule (OR) for probability: Videos & practice
Activities & Resources
- Andy Lutwyche
- Go Teach Maths
Worksheets
- Corbettmaths
- Probability Practice Questions & Solutions
- Probability Worksheet & Solutions
- Transum Level 1-2 Probability online worksheet
- CIMT MEP (online self-checking)
Dr Frost Resources
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
2.1 Multiple Event Scenarios
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Conditional Probability
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Frequency Trees and Systematic Listing ppt (Slides 9 Onwards)
- Don Steward
- The Chalkface
- Goal Free Problems
- Go Teach Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Conditional Probability Practice Questions & Solutions
- Conditional Probability Worksheet & Solutions
- Maths 4 Everyone
- Pixi Maths
Dr Frost Resources
Dr Frost Video
K566: Deal With a Single Chain of Outcomes Involving Successive Dependent Events.
K567: Deal With Multiple Different Chains of Outcomes Involving Successive Dependent Events.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 353f: Determine the probability of achieving a given sum from multiple values, with item replacement.
- 353g: Determine the probability of a first success occurring after a certain number of trials.
- 353h: Determine the probability of a chain of outcomes given the probability of another chain of outcomes.
- 353i: Determine the probability of at least one occurrence of an event given a larger number of trials.
- 353j: Determine the probability of succeeding within a fixed number of trials.
- 353k: Determine the probability of reaching a point via a random route on a grid.
- 354d: Deal with three or more chains of outcomes involving successive dependent events.
- 354e: Determine the probability of achieving a given sum or product from multiple values, without item replacement.
- 354f: Determine the probability of successive events by grouping outcomes (e.g. into odd and even).
- 353: Exam Practice: Probability of independent and successive independent events (including tree diagrams)
- 354: Exam Practice: Successive dependent events, i.e. sampling without replacement (including tree diagrams)
Extension Materials
2.2 Who is Hannah and Why do I Care About Her Sweets?! Algebra in Probability
Teaching Videos, Exercises & Activities
Tutorial Videos
Probability Equations | Grade 9 Maths Series | GCSE Maths Tutor by The GCSE Maths Tutor
Harder Probability Questions Forming and Solving Equations by Maths Genie
Viral Math Problem – Solving Hannah's Sweets (GCSE Exam) by MindYourDecisions
Online Platforms (with Videos & Exercises)
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
- Don Steward
- Goal Free Problems
Worksheets
Dr Frost Resources
Dr Frost Video
K628: Form an Equation Using Sampling Without Replacement.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 463a: Give an expression for the probability of a single choice given algebraic frequencies.
- 463b: Give an expression for the probability of a single chain of outcomes involving algebraic frequencies.
- 463c: Give an expression for the probability of multiple chains of outcomes involving algebraic frequencies.
- 463d: Form and solve a linear equation where a choice is made from two separate groups with an unknown in one.
- 463e: Form an equation using probability involving a single chain of outcomes.
- 463f: Form an equation using probability involving a single chain of outcomes with subtraction of frequencies. (not yet active)
- 463g: Form an equation using probability where a difference is given between two quantities. (not yet active)
- 463h: Form and solve an equation using sampling without replacement where a difference is given between two quantities. (not yet active)
- 463: Exam Practice: Algebraic probability problems involving independent/dependent events
Extension Materials
Whole Topic Summary Resources (Including Past Paper Questions)
Download Multiple Events PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic resources
Worksheets
- Mathsaurus (Kevin Olding)
Activities
- NRICH (student problems)
- The Chalkface
- Take it or leave it: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Go Teach Maths
- Dr Austin Maths
External
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