2.12 Probability methods
2.12 Probability methods
Welcome to the 2.12 Probability methods page at Takapuna Grammar School. Below you have a selection of videos and other resources covering the skills and concepts needed in this standard. To the left (or below on a small screen) you have the course drive with resources such as theory notes and administrative information.
Overview of the content
Exam advice and content overview from Study time
Cheat sheet from Study time
Basic concepts: theoretical probability, experimental probability, the multiplication rule (P(A AND B), the addition rule P(A OR B)
Key ideas by Liz Sneddon:
Expected values and conditional probability
Examples of problems based on these key ideas
Frequency tables
Two way tables (by Liz Sneddon)
Creating and using a frequency tables (by Liz Sneddon)
Calculate probability using OR, AND and IF rules. (by Liz Sneddon)
Conditional probabilities and Expected values. (by Liz Sneddon)
Worked example 1, by TGS maths department (From L2 Nulake)
Worked example 2, by TGS maths department (From L2 Nulake)
Worked example 3, by TGS maths department (From L2 Nulake)
Worked example 4, by TGS maths department (From L2 Nulake)
Probability Trees
Probability trees overview with examples (by Liz Sneddon)
Probability trees with and without replacement (by Maths genie)
Probability tree example (Corbett Maths)
How to create a probability tree from context/word problem
How to use probability trees to calculate new probabilities
Example 1 probability tree, by TGS maths department
Example 2 probality tree, by TGS maths department
Example 3 probality tree, by TGS maths department
Example 4 probability tree, by TGS maths department
The Normal distribution
Introduction
Introduction to the normal distribution (Dr Nic)
Using your calculator to solve normal distribution problems (Mr Fahlander)
Strange answers? It's scientific notation (Mr Fahlander)
The shape of the normal distribution for different values of the mean and the standard deviation. (Desmos graph)
Intro to using graphics calculator for normal distribution (5 min)
Question 52a on page 38 of Nulake book
Question 52b on page 38 of Nulake book
Question 56a, page 40 of Nulake book
Education Perfect standard normal distribution theory
Education Perfect standard normal distribution examples
Using the standard normal distribution in calculator (3 min) By Mirror visual
Inverse normal problems
How to solve inverse normal distribution problems (Nulake page 45 question 60)
Introduction to the inverse normal problems by study time
How to use the z-score to find the mean of a normal distribution (Nulake page 51 question 68)
Inverse normal to find the standard deviation (Mrs O'Gram's Maths)
Inverse normal to find the mean (Mr Atkinson)
Relative risk
Introduction and examples, by TGS maths department
Example 1 relative risk, by TGS maths department