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