Name__________________

March 1, 2005 Homework

 

1. Consider a keno game in which there are 40 balls, the player picks 3 and the casino draws 10. Fill in the following table to determine the expected return.

Catch

Formula

Combinations

Pays

Return

3

.

.

50

.

2

.

.

2

.

1

.

.

0

.

0

.

.

0

.

Total

.

.

.

.

Expected return = _______________

2. Consider a keno game in which there are 64 balls, the player picks 4 and the casino draws 16. Fill in the following table to determine the expected return.

Catch

Formula

Combinations

Pays

Return

4

,

.

180

.

3

,

.

5

.

2

,

.

1

.

1

.

.

0

.

0

.

.

0

.

Total

.

.

.

Expected return = _______________

 

  1. Consider a keno game in which there are 100 balls, the player picks 5 and the casino draws 25. Fill in the following table to determine the expected return.
  2. Catch

    Formula

    Combinations

    Pays

    Return

    5

    .

    .

    100

    .

    4

    .

    .

    15

    .

    3

    .

    .

    3

    .

    2

    .

    .

    1

    .

    1

    .

    .

    0

    .

    0

    .

    .

    0

    .

    Total

    .

    .

    .

    Expected return = _______________

     

     

  3. Consider a keno game in which there are 75 balls, the player picks 6 and the casino draws 14. Fill in the following table to determine the expected return.
  4. Catch

    Formula

    Combinations

    Pays

    Return

    6

    .

    .

    10000

    .

    5

    .

    .

    250

    .

    4

    .

    .

    25

    .

    3

    .

    .

    5

    .

    2

    .

    .

    0

    .

    1

    .

    .

    0

    .

    0

    .

    .

    0

    .

    Total

    .

    .

    .

    Expected return = _______________

     

  5. Consider a keno game in which there are 40 balls, the player picks 7 and the casino draws 10. Fill in the following table to determine the expected return.
  6. Catch

    Formula

    Combinations

    Pays

    Return

    7

    .

    .

    2500

    .

    6

    .

    .

    250

    .

    5

    .

    .

    50

    .

    4

    .

    .

    5

    .

    3

    .

    .

    1

    .

    2

    .

    .

    0

    .

    1

    .

    .

    0

    .

    0

    .

    .

    1

    .

    Total

    .

    .

    .

    Expected return = _______________

  7. Consider a keno game in which there are 50 balls, the player picks 8 and the casino draws 12. Fill in the following table to determine the expected return.
  8. Catch

    Formula

    Combinations

    Pays

    Return

    8

    .

    .

    5000

    .

    7

    .

    .

    1000

    .

    6

    .

    .

    50

    .

    5

    .

    .

    15

    .

    4

    .

    .

    5

    .

    3

    .

    .

    1

    .

    2

    .

    .

    0

    .

    1

    .

    .

    0

    .

    0

    .

    .

    0

    .

    Total

    .

    .

    .

    Expected return = _______________

     

  9. Consider a keno game in which there are 60 balls, the player picks 9 and the casino draws 15. Fill in the following table to determine the expected return.
  10. Catch

    Formula

    Combinations

    Pays

    Return

    9

    .

    .

    10000

    .

    8

    .

    .

    2000

    .

    7

    .

    .

    100

    .

    6

    .

    .

    20

    .

    5

    .

    .

    10

    .

    4

    .

    .

    2

    .

    3

    .

    .

    1

    .

    2

    .

    .

    0

    .

    1

    .

    .

    0

    .

    0

    .

    .

    0

    .

    Total

    .

    .

    .

    Expected return = _______________

  11. Consider a keno game in which there are 72 balls, the player picks 10 and the casino draws 12. Fill in the following table to determine the expected return.

Catch

Formula

Combinations

Pays

Return

10

.

.

1000000

.

9

.

.

100000

.

8

.

.

10000

.

7

.

.

1000

.

6

.

.

100

.

5

.

.

10

.

4

.

.

5

.

3

.

.

2

.

2

.

.

0

.

1

.

.

0

.

0

.

.

1

.

Total

.

.

.

Expected return = _______________