### Overlapping Events

### Venn Diagram

### Mutually exclusive events

### Definition:

**Events that do not have anything in common**

#### Example:

Rolling a Dice

A. Rolling a 2

B. Rolling an odd number

#### Applying this to our experiment,

*A mutually exclusive event would be:*

A. Selecting a bad, green jellybean

B. Selecting a good, blue jellybean

**Neither event A or B share any common factors**

### Sample Space

### Favorable Outcomes

#### Definition:

**The outcomes which make necessary the happening of an event in a trial**

In our demonstration, the favorable outcome is selecting a normal tasting jellybean

**This was determined based on the question we chose for this demonstration, "What is the probability of selecting a normal tasting jellybean from a group of 6?"**

If 6 Jellybeans of the same color are selected, the favorable outcome of selecting a normal tasting jellybean is 2/3 based on the trial taken beforehand

Formula

### Example

#### P(A or B)= P(A)+P(B) - P(A and B)

**From a deck of 52 cards**

A: You draw a heart

B: You draw a queen

### Based on our demonstration:

#### You have 20 jellybeans

**A. You select a Blue Jellybean**

**B. You select a Normal**

Credits:

Created with images by Gret Sher - "you know what these are" • Gret Sher - "you know what these are" • dwstucke - "jelly beans" • haagsa - "jelly beans delicious sweet" • Gret Sher - "you know what these are" • haagsa - "jelly beans delicious sweet"