Probability and Chance in Mathematics - Revised
This free online math course from Alison introduces you to the mathematics of probability and chance.
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This Probability and Chance in Mathematics course introduces you to the mathematics of probability and chance. The course starts off by teaching you about making arrangements and selection in mathematics. It then covers how to calculate expected values.
Next you will learn about calculating the probability of both simple and compound events, along with probability in independent events. You will then be introduced to tree diagrams and how to calculate probability with them. You will also learn about calculating probability in reverse using Bayes Theorem.
The second module starts off by teaching you about what distributions are and how to compare them. You will then learn about what binomial distribution is and how to work out a maths problem using binomial distribution. Finally, you will be taught how to use Microsoft Excel to calculate monomial probabilities and the mean of a binomial distribution.Start Course Now
Probability Part 1
Probability Part 1 - Learning Outcomes
Arrangements and Selections
Probability Of Simple Events
Probability Of Compound Events
Probability Using Tree Diagrams
Probability Trees With And Without Replacement
Reverse Probability - Bayes' Theorem
Bayes' Theorem And Medical Testing
Probability Patterns Of Discrete Variables
Probability Part 1 - Lesson Summary
Probability Part 2
Probability Part 2 - Learning Outcomes
The Binomial Distribution
A Problem Using Binomial Distribution
Bernoulli Trials And The Binomial Formula
The Normal Distribution
Using Excel To Calculate Binomial Probabilities
Using Excel To Find The Mean Of A Binomial Distribution
Counting and Probability Part 2 - Lesson Summary
Having completed this course students will be able to:
- Discuss and calculate the mathematical ways making arrangement and selections
- Recognise the concept of Expected value
- Discuss and define what probability is
- Calculate the probability of simple and compound events
- Discuss how to calculate probability in reverse
- Recognize Bayes Theorem
- Identify how to calculate the probability distribution
- Define what a Binomial Distribution is and how to calculate it
- Identify how to calculate the normal distribution for continuous variables
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