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"