Combination |
Probability |
Expectation |
All the combinations with 5: |
||
5 |
1/5 |
1/5 |
Total |
1/5 = .20 |
|
All the combinations with 4: |
||
41 |
1/5 |
1/5 |
14 |
(1/5)(1/4) |
1/20 |
Total |
5/20 = 1/4 = .25 |
|
All the combinations with 3: |
||
311 |
(1/5)(1/2) |
1/10 |
32 |
(1/5)(1/2) |
1/10 |
23 |
(1/5)(1/3) |
1/15 |
131 |
(1/5)(1/4) |
1/20 |
113 |
(1/5)(1/4)(1/3) |
1/60 |
Total |
20/60 = 1/3 = .33 |
|
All the combinations with 2: |
||
1112 |
(1/5)(1/4)(1/3)(1/2) |
1/120 |
1121 |
(1/5)(1/4)(1/3) |
1/60 |
1211 |
(1/5)(1/4)(1/2) |
1/40 |
122 |
(1/5)(1/4)(1/2) |
2/40 |
2111 |
(1/5)(1/3)(1/2) |
1/30 |
212 |
(1/5)(1/3)(1/2) |
2/30 |
221 |
(1/5)(1/3) |
2/15 |
23 |
(1/5)(1/3) |
1/15 |
32 |
(1/5)(1/2) |
1/10 |
Total |
60/120 = 1/2 = .50 |
|
All the combinations with 1: |
||
11111 |
(1/5)(1/4)(1/3)(1/2) |
5/120 |
113 |
(1/5)(1/4)(1/3) |
2/60 |
1112 |
(1/5)(1/4)(1/3)(1/2) |
3/120 |
1121 |
(1/5)(1/4)(1/3) |
3/60 |
1211 |
(1/5)(1/4)(1/2) |
3/40 |
122 |
(1/5)(1/4)(1/2) |
1/40 |
131 |
(1/5)(1/4) |
2/20 |
14 |
(1/5)(1/4) |
1/20 |
2111 |
(1/5)(1/3)(1/2) |
3/30 |
212 |
(1/5)(1/3)(1/2) |
1/30 |
221 |
(1/5)(1/3) |
1/15 |
311 |
(1/5)(1/2) |
2/10 |
41 |
(1/5) |
1/5 |
Total |
120 / 120 = 1/1 = 1 |
|