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# Combining the Rules of Probability - Tree Diagrams

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Author: Daniel Nelson
##### Description:

Demonstrate the use of a tree diagram in showing the probabilities of events

A couple of videos to outline terms and show you how to effectively use a tree diagram

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Tutorial

## 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