Question

You throw three darts at the board shown. Each dart hits the board and scores a 3, 9, or 27. How many different total scores

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Answer #1

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

Out of the above total’s there are only 10 unique total’s.

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