2.12 Probability methods

Course folder

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:

Introduction,

Probability rules

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 study time

Introduction and examples, by TGS maths department

Example 1 relative risk, by TGS maths department


Exam revision

Watch this space for tutorials on how to solve previous exam problems.

2012 years exam: Q1, Q2, Q3