Prior content: Probability
Previous Section: Correlation & Regression
Next Section: The Normal Distribution
Contents
- Whole Topic Notes
- 2A Set Notation
- 2B Conditional Probability
- 2C Conditional Probability with Venn Diagrams
- 2D Probability Formulae
- 2E 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 Conditional Probability Section
- Dr Frost Conditional Probability Slides✦
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
Notes
- Physics & Maths Tutor
- Ch.2 Conditional Probability: Cheat sheet
2A Set Notation
Textbook resources
No Haberdashers’ Adams Video
Tutorial Videos
Edexcel A level Maths: 2.1 Set Notation by Zeeshan Zamurred
A-Level Maths: M1-03 [Probability: Finding Probabilities from a Venn Diagram] by TLMaths
Basics of Probability: Unions, Intersections, and Complements by jbstatistics
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
- 632a: Determine missing probabilities in 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)
- 632e: Calculate P(…) probabilities involving a mixture of set intersection, union and complements, with a given Venn diagram. (not yet active)
- 632f: Calculate P(…) probabilities involving a mixture of set intersection, union and complements, by forming a Venn diagram. (not yet active)
- 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)
- 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.
- 632: Exam Practice: Probability using set notation
- 633: Exam Practice: Probability law for independent events (multiplication rule)
- 356: Exam Practice: Probabilities from Venn diagrams using set notation
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
2B Conditional Probability
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 (Up to 12:00)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 357a: Determine a conditional probability from a two-way table. (not yet active)
- 357b: Determine a conditional probability from a frequency tree. (not yet active)
- 635a: Determine a probability P(A|B) using a two-way table. (not yet active)
- 635e: Determine P(A|B) where A and B are independent. (not yet active)
- 357: Exam Practice: Conditional probability (no set notation)
- 635: Exam Practice: Probability law for conditional events
Other resources
Other Videos & Multimedia
Numberphile Monty Hall
Enrichment Video
3Blue1Brown: Bayes theorem, the geometry of changing beliefs
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Boy or Girl Paradox Wikipedia
- The Chalkface
- Transum
Worksheets
- Mathshelper (Jon Stone)
- Mathematics Assessment Project
Online Platforms
- Khan Academy
- Conditional probability: Videos & practice
2C Conditional Probability with 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 (From 12:00)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- Dr Frost Questions (Big)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 357d: Determine a conditional probability from a Venn diagram filled with frequencies. (not yet active)
- 357e: Determine a conditional probability from a Venn diagram filled with elements. (not yet active)
- 635b: Determine a probability P(A|B) using a Venn diagram with frequencies. (not yet active)
- 635c: Determine P(A|B) via use of a Venn diagram. (not yet active)
- 357: Exam Practice: Conditional probability (no set notation)
- 635: Exam Practice: Probability law for conditional events
Other resources
Other Videos
Courtesy of Maths Genie
Enrichment Video
3Blue1Brown: The medical test paradox, and redesigning Bayes' rule
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Presentation
- WW Conditional Probability Slides (Covering Material from Next 3 Sections)
Activities
- The Chalk Face Probability Table, Conditional Probability
Online Platforms
- Khan Academy
- Venn diagrams & probability: Videos & practice
Worksheets
- MadAsMaths (T. Madas)
- Probability Venn Diagrams Q20, 24–26, 31, 35, 38, 45, 47, 49, 53, 55, 58–61, 67 (difficulty 3–5 of 5)
2D Probability Formulae
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
- Dr Frost Questions (Short)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 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.
- 634a: Determine P(A cup B) using the addition rule.
- 634b: Combine the addition rule and independence of two variables to determine a probability.
- 635d: Use the conditional probability formula to find P(A|B) (not yet active)
- 635f: Use the conditional probability formula to find P(A cap B) (not yet active)
- 635g: Use a Venn Diagram to find the probability of a conjunction using the conditional probability formula.
- 635i: Determine unknown probabilities in a Venn diagram by using the conditional probability formula combined with independence of variables. (not yet active)
- 633: Exam Practice: Probability law for independent events (multiplication rule)
- 634: Exam Practice: Addition rule for probability
- 635: Exam Practice: Probability law for conditional events
Further Practice
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheet
- Jethwa Maths Starter Activity (p3-4)
Online Platforms
- Khan Academy
- Independent events & the multiplication rule: Videos & practice
Activities
- Transum
Worksheets
- MadAsMaths (T. Madas)
- Probability Venn Diagrams Q1–5, 7–10, 21, 22, 27, 39, 42, 43, 46, 48, 50, 54, 56, 64–66 (difficulty 2–5 of 5)
2E 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
- 357c: Determine a conditional probability from a probability tree. (not yet active)
- 635h: Determine a conditional probability using a tree diagram and the conditional probability formula. (not yet active)
- 635j: Determine the probability of a sequence of events conditioned on some outcome. (not yet active)
- 357: Exam Practice: Conditional probability (no set notation)
- 635: Exam Practice: Probability law for conditional events
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheet
- Jethwa Maths Starter Activity (p5-10)
- The Chalk Face False Positive✦
Activities
Worksheets
- MadAsMaths (T. Madas)
- Probability Tree Diagrams Q1–23 (difficulty 2–5 of 5)
Whole Topic Summary Resources (Including Past Paper Questions)
Activities
- Andy Lutwyche
Download PPQs as WW Powerpoint for A2 Probability
External Whole Topic Past Paper Style Questions
- WW Dr Frost Style QQQs Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- Jethwa Maths Starter Activities
- Mathsaurus Probability (Video Solutions Pending)
- PMT Old S1 Questions
Other Whole Topic Resources
- Lucyjc1612 Summary Poster (Probability)
Worksheets
- Maths Genie
- Conditional Probability: Questions · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Physics & Maths Tutor
- Conditional Probability: Questions 2021–24 · Mark scheme · Model answers · Questions 2018–21 (with MS) · Model answers
- Probability (A-level papers): Questions 2021–24 · Mark scheme · Model answers
- MadAsMaths (T. Madas)
- Probability Various Q1–36, 39, 40 (difficulty 3–5 of 5)
- Swinton Maths
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.