Mutually Exclusive Events and Independent/Dependent Events
Hit or Miss
Def: Independent Events—two events are independent if the occurrence of one does not affect the other.
·
A and B are independent if 
.
Def: Dependent Events—two events are dependent if the occurrence of one does affect the other.
·
A and B are dependent if 
.
Example:
|
|
SQUARE |
CIRCLE |
HEXAGON |
|
|
RED |
4 |
2 |
3 |
9 |
|
BLUE |
8 |
4 |
6 |
18 |
|
|
12 |
6 |
9 |
27 |
P(Hexagon) = 9/27 = 1/3
P(Hexagon given Blue) = 6/18 = 1/3
Therefore, Hexagon and Color are independent events.
Going Out Versus Grade-Level
Def: Mutually Exclusive Events—events that cannot occur at the same time.
Examples and Non-examples
1. Roll a die Events: Odd and Even t (Mutually Exclusive)
2. Roll a die Events: Prime and Odd (Not Mutually Exclusive)
3. Draw a card Give an example of Mutually Exclusive events
4. Draw a card Give an example of Not Mutually Exclusive events
Spinning Pennies