final 1516.pdf

4.1b) Basic Concepts of Probability

4.2a) Sample Space

4.2b) Sample Space of Example Vacation

4.2c) Sample Space of Two Dice

4.2d) Sample Space of Two Dice using a Contingency Table

4.3a) Addition rule for probability

4.3b) Compound probability of independent events

4.3c) Various Properties of Probability using coin flipping as an example

4.3d) Probability without equally likely events

4.3e) Permutations and Combinations

4.3f) Permutations and Combinations using coin flipping as an example (part 1)

4.3g) Permutations and Combinations using coin flipping as an example (part 2)

4.4a) Count outcomes using tree diagram

4.4b) Tree Diagram Example #1

4.4c) Tree Diagram Example #2

4.4d) Tree Diagram Example #3

4.4e) Tree Diagram Example #4

4.5) Probability with playing cards and Venn diagrams

4.6a) Calculating Conditional Probability

4.6b) Analyzing event probability for independence

4.6c) Conditional probability explained visually using Tree Diagram

4.7a) Introduction to Bayes' Theorem

4.7b) Introduction to Bayes' Theorem for medical diagnosis

4.7c) Bayes' Theorem Example for medical diagnosis

4.7d) Bayes' Theorem Example #2

Lesson 2) How to compare 1D Histograms

Lesson 3) How to compare 2D Histograms

29 Videos on Independent and dependent events

19 Videos on Random variables and probability distributions

The advantage of this website is that it contains many examples and solutions related to Topic 4; in case you want more practice problems while preparing for your MMU exams

4.1) The Basic Counting Principle

4.1) Combinations and Permutations

4.2) Complement of an Event

4.2) Types of Events

4.2) Independant Events

4.2) Dependant Events

4.2) Mutually Exclusive Events

4.4) Probability Tree Diagrams

4.7) False Positives and False Negatives

4.7) Bayes' Theorem

More explanation about "independent events" can be found at:

Detailed explanation for Q5 can be found at:

4.3) Properties of Probability
4.5) Venn Diagram
4.6) Conditional Probability

For more information, feel free to check out:

Advanced Level

Law of total probability

4.3) Properties of Probability
4.4) Tree Diagram
4.5) Venn Diagram
4.6) Conditional Probability
4.7) Bayes' Theorem

Trim 2, 2015/2016

Trim 2, 2014/2015

Permutation

Sample Space

Tree Diagrams

Events (e.g. mutually exclusive events, independent events,  complements of events)

Conditional Probability

Probability Involving
AND and OR

Probability of Two Events

Contingency tables