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 GradeLevel
Def: Mutually Exclusive Events—events that cannot occur at the same time.
Examples and Nonexamples
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