Chart of coin flips

One coin will have how many different outcomes?

Two coins will have how many different outcomes?

Three coins will have how many different outcomes?
Four coins will have how many different outcomes?
Five coins will have how many different outcomes?
 

Coin 1

Pattern 1

  

Pattern 2

  

 

 

Coin 1

Coin 2

Pattern 1

    

Pattern 2

    

Pattern 3

    

Pattern 4

    

 

 

Coin 1

Coin 2

Coin 3

Pattern 1

      

Pattern 2

      

Pattern 3

      

Pattern 4

      

Pattern 5

      

Pattern 6

      

Pattern 7

     

Pattern 8

      

 

 

Coin 1

Coin 2

Coin 3

Coin 4

Pattern 1

        

Pattern 2

        

Pattern 3

        

Pattern 4

        

Pattern 5

        

Pattern 6

        

Pattern 7

       

Pattern 8

        

Pattern 9

        

Pattern 10

        

Pattern 11

       

Pattern 12

        

Pattern 13

        

Pattern 14

        

Pattern 15

        

Pattern 16

        

 

Hint:
 

Coin 1

Pattern 1

H

Pattern 2

T

 

 

Coin 1

Coin 2

Pattern 1

H

H

Pattern 2

T

T

Pattern 3

T

H

Pattern 4

H

T

 

 

Coin 1

Coin 2

Coin 3

Pattern 1

H

H

H

Pattern 2

H

H

T

Pattern 3

H

T

H

Pattern 4

T

H

H

Pattern 5

T

T

T

Pattern 6

T

H

T

Pattern 7

T

T

H

Pattern 8

H

T

T

 

 

Coin 1

Coin 2

Coin 3

Coin 4

Pattern 1

H

H

H

H

Pattern 2

H

H

H

T

Pattern 3

H

H

T

H

Pattern 4

H

T

H

H

Pattern 5

T

H

H

H

Pattern 6

T

T

T

T

Pattern 7

T

T

T

H

Pattern 8

T

T

H

T

Pattern 9

T

H

T

T

Pattern 10

H

T

T

T

Pattern 11

H

H

T

T

Pattern 12

H

T

H

T

Pattern 13

H

T

T

H

Pattern 14

T

T

H

H

Pattern 15

T

H

H

T

Pattern 16

T

H

T

H

Probability of 2 heads and 2 tails is 6/16 or 3/8

Dr. Robert Sweetland's Notes ©