Dart Board Probability

Assume a dart board with 4 scoring areas worth 20 pts, 10 pts, 5 pts and zero pts.

Person A has the following likelihood with each dart:

20 pts - 50%

10 pts - 15%

5 pts - 15%

0 pts - 20%

Person B has the following likelihood per dart:

20 pts - 20%

10 pts - 20%

5 pts - 10%

0 pts - 50%

Question: If Player A gets to throw 2 darts and Player B gets to throw 5 darts, how do you calculate the probability of Player A or Player B getting the highest total score?

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