Soln
There are 10 different total scores.
Also, there are 33 = 27 total scores.
Given below is the sample space.
|
Dart 1 |
Dart 2 |
Dart 3 |
Total |
|
3 |
3 |
3 |
9 |
|
3 |
3 |
9 |
15 |
|
3 |
3 |
27 |
33 |
|
3 |
9 |
3 |
15 |
|
3 |
9 |
9 |
21 |
|
3 |
9 |
27 |
39 |
|
3 |
27 |
3 |
33 |
|
3 |
27 |
9 |
39 |
|
3 |
27 |
27 |
57 |
|
9 |
3 |
3 |
15 |
|
9 |
3 |
9 |
21 |
|
9 |
3 |
27 |
39 |
|
9 |
9 |
3 |
21 |
|
9 |
9 |
9 |
27 |
|
9 |
9 |
27 |
45 |
|
9 |
27 |
3 |
39 |
|
9 |
27 |
9 |
45 |
|
9 |
27 |
27 |
63 |
|
27 |
3 |
3 |
33 |
|
27 |
3 |
9 |
39 |
|
27 |
3 |
27 |
57 |
|
27 |
9 |
3 |
39 |
|
27 |
9 |
9 |
45 |
|
27 |
9 |
27 |
63 |
|
27 |
27 |
3 |
57 |
|
27 |
27 |
9 |
63 |
|
27 |
27 |
27 |
81 |
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