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Combining the Rules of Probability - Tree Diagrams

Author: Daniel Nelson

Things to know

Tree Diagram - a method of displaying the probability of independent events  occurring

 

Complement - The complement of an event is that event not occurring, meaning the opposite of a favorable outcome. The complement is anything that could happen other than what we're looking for

Dependent events - the occurrence of one event changes the probability a second occurs

Independent events - if one event happens, it does not affect the probability that the second happens

Things to Know (Video Explanation)

The title kinda sums it up

Tree Diagrams Explained

A little example of how to make a tree diagram with independent events

Coin example steps

If any part of the coin example video went too fast or you want to go through it yourself, the steps are here in powerpoint format.

Another tree diagram example

This time, we're using dependent events instead of the independent event coin toss example

Note: about a minute in i say 99% have it and 1% don't; disregard this i meant the opposite. The tree diagram is accurate but what i say then isn't.

Disease example steps

If any part of the disease example went too fast, the steps are here for you to go through