Prior content: GCSE Basic Probability, GCSE Multiple Events, GCSE Sets, GCSE Tree Diagrams
Previous Section: Correlation
Next Section: DRV’s & Binomial Distribution
Contents
- Whole Topic Notes
- 5A Sample Spaces & Probability from Data
- 5B Venn Diagrams
- 5C Mutually Exclusive & Independent Events
- 5D Tree Diagrams
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Probability Section
- Dr Frost Probability Slides✦
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
5A Sample Spaces & Probability from Data
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 248e: Determine a probability using the total frequency in a two-way table.
- 248f: Determine a probability within a subgroup of a two-way table.
- 249a: List combined outcomes (not in a table) where one or both sets of outcomes are non-numeric.
- 249b: List combined outcomes in a table, where one or both sets of outcomes are non-numeric.
- 249c: List combined outcomes using a sample space, using an arithmetic operator.
- 249d: Determine a probability from a given sample space.
- 249e: Determine the probability of a combined outcome where the sample space is not given.
- 248: Exam Practice: Theoretical probabilities using counts
- 249: Exam Practice: Sample space diagrams
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- Kutasoftware Worksheet
Online Platforms
- Khan Academy
- Introduction to probability: Videos & practice
5B Venn Diagrams
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Exam Practice
- Exam Practice
- Exam Practice: Set Notation · Addition Rule
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 355a: Calculate probabilities of a single region using a Venn diagram with two non-mutually exclusive sets.
- 355b: Calculate probabilities of multiple regions using a Venn diagram with two non-mutually exclusive sets.
- 355c: Calculate probabilities using a Venn diagram with three non-mutually exclusive sets.
- 355d: Calculate probabilities by drawing a Venn diagram with two non-mutually exclusive sets.
- 355e: Calculate probabilities by drawing a Venn diagram with three non-mutually exclusive sets.
- 355f: Determine a probability where the selection is made from a subgroup of a Venn diagram.
- 355g: Calculate an unknown variable in algebraic frequencies, given a probability when a selection is made from a subgroup of the Venn diagram.
- 356a: Use set notation to calculate probabilities of mutually exclusive events from a Venn diagram filled with frequencies.
- 356b: Use set notation to calculate probabilities of non-mutually exclusive events from a Venn diagram filled with frequencies.
- 356c: Use set notation to calculate probabilities of non-mutually exclusive events from a Venn diagram filled with elements.
- 356d: Calculate a probability involving set notation by constructing a Venn diagram.
- 355: Exam Practice: Probabilities from Venn diagrams (no set notation)
- 356: Exam Practice: Probabilities from Venn diagrams using set notation
Further Practice
- Practise Questions
- Practise Questions: Set Notation · Addition Rule
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets & Activities
- Jethwa Maths Starter Activities (p7-12)
- NaikerMaths Venn Diagrams Exam Questions✦ & Solutions✦
- Transum Online Paint Shade the Venn diagrams
- MadAsMaths (T. Madas)
- Probability Venn Diagrams Q6, 12, 14, 17, 19, 28, 29, 32, 34, 37, 40, 62, 63 (difficulty 2–5 of 5)
Online Platforms
- Khan Academy
- Venn diagrams & probability: Videos & practice
Activities
- Transum
- MEI
5C Mutually Exclusive & Independent Events
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Exam Practice
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 355h: Determine whether two events are independent using a Venn diagram.
- 632b: Calculate probabilities of mutually exclusive events from given probabilities.
- 632c: Calculate probabilities of mutually exclusive events from given probabilities, where set notation is used.
- 632d: Understand how mutual exclusivity is reflected in Venn diagrams and understand the significance of A cap B = emptyset (not yet active)
- 633a: Calculate probabilities of independent events, using P(…) notation.
- 633b: Calculate the probability of one event given the probability of another independent event and their combined probability.
- 633c: Determine whether two events are independent given probabilities.
- 633d: Determine whether two events are independent given a Venn diagram.
- 633e: Determine whether two events are independent by first forming a Venn diagram. (not yet active)
- 633f: Determine an unknown probability in a Venn diagram by using independence of variables. (not yet active)
- 634a: Determine P(A cup B) using the addition rule.
- 634b: Combine the addition rule and independence of two variables to determine a probability.
- 355: Exam Practice: Probabilities from Venn diagrams (no set notation)
- 632: Exam Practice: Probability using set notation
- 633: Exam Practice: Probability law for independent events (multiplication rule)
- 634: Exam Practice: Addition rule for probability
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- Jethwa Maths Starter Activities (p13-15)
- NaikerMaths Independent Events Exam Questions✦ & Solutions✦
- kutasoftware
- MadAsMaths (T. Madas)
- Probability Venn Diagrams Q11, 13, 15, 16, 18, 23, 30, 33, 36, 41, 44, 51, 52, 57 (difficulty 2–4 of 5)
Online Platforms
- Khan Academy
- Independent events & the multiplication rule: Videos & practice
Activities
- MEI
- Making Statistics Vital
5D Tree Diagrams
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 353a: Draw a tree diagram to represent successive independent events.
- 353b: Deal with a single chain of outcomes involving successive independent events, using a tree diagram.
- 353c: Deal with a single chain of outcomes involving successive independent events, without using a tree diagram.
- 353d: Deal with multiple different chains of outcomes involving successive independent events, using a tree diagram.
- 353e: Deal with multiple different chains of outcomes involving successive independent events, without using a tree diagram.
- 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.
- 354a: Draw a tree diagram to represent successive dependent events.
- 354b: Deal with a single chain of outcomes involving successive dependent events.
- 354c: Deal with multiple different chains of outcomes involving successive dependent events.
- 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)
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- Jethwa Maths Starter Activities (p1-6)
- NaikerMaths Tree Diagrams Exam Questions✦ & Solutions✦
- MadAsMaths (T. Madas)
- Probability Tree Diagrams Q1–4 (difficulty 2–3 of 5)
Activities
- MEI
- What does the probability tree look like?✦ (original by MEI; copy hosted on Jo Morgan’s Drive)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for AS Probability
External Whole Topic Past Paper Style Questions
- Jethwa Maths Starter Activities
- Mathsaurus Collection of PPQ for All Boards (Video Solutions Pending)
- Dr Frost Topic Test✦ (Teacher Log in Required)
- PMT Cheat Sheet
Other Resources
- Lucyjc1612 Summary Poster (Probability) Includes A2 Content
Worksheets
- Mathshelper (Jon Stone)
- Hard Probability: Worksheet 1 · Worksheet 2
- MathedUp
- Maths Genie
- Probability: Questions · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Physics & Maths Tutor
- Probability: Questions 2021–24 · Mark scheme · Model answers · Questions 2018–21 (with MS) · Model answers
- OCR
- Dr Oliver Mathematics
Activities
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.