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 = _______________
|
Catch |
Formula |
Combinations |
Pays |
Return |
|
5 |
. |
. |
100 |
. |
|
4 |
. |
. |
15 |
. |
|
3 |
. |
. |
3 |
. |
|
2 |
. |
. |
1 |
. |
|
1 |
. |
. |
0 |
. |
|
0 |
. |
. |
0 |
. |
|
Total |
. |
. |
. |
Expected return = _______________
|
Catch |
Formula |
Combinations |
Pays |
Return |
|
6 |
. |
. |
10000 |
. |
|
5 |
. |
. |
250 |
. |
|
4 |
. |
. |
25 |
. |
|
3 |
. |
. |
5 |
. |
|
2 |
. |
. |
0 |
. |
|
1 |
. |
. |
0 |
. |
|
0 |
. |
. |
0 |
. |
|
Total |
. |
. |
. |
Expected return = _______________
|
Catch |
Formula |
Combinations |
Pays |
Return |
|
7 |
. |
. |
2500 |
. |
|
6 |
. |
. |
250 |
. |
|
5 |
. |
. |
50 |
. |
|
4 |
. |
. |
5 |
. |
|
3 |
. |
. |
1 |
. |
|
2 |
. |
. |
0 |
. |
|
1 |
. |
. |
0 |
. |
|
0 |
. |
. |
1 |
. |
|
Total |
. |
. |
. |
Expected return = _______________
|
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 = _______________
|
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 = _______________
|
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 = _______________