Hi, I am having some issues with this problem. Any help is much appreciated! The

Question

Hi,
I am having some issues with this problem. Any help is much appreciated!

There are two people competing in a golf match, Person A and Person B. For a hole with a par-3 rating, Person A has the following probabilities of getting the ball in the hole in the designated number of strokes:

Person B has the following probabilities:

I am trying to calculate the probability that Person B wins, the probability that they tie, and the probability that Person A wins.

I know that once the probability that person A (or B) is found, the probability that the other person wins is just 1-p, but I am having trouble figuring out how to get the probabilities. Any help would be great, thanks!

Explanation / Answer

Probability of a tie is given by: (0.00)(0.00) + (0.00)(0.00) + (0.03)(0.01) + (0.48)(0.39) + (0.41)(0.53) + (0.07)(0.06) + (0.01)(0.01) = 0.4091 Probability that A wins is the probability that B takes more swings than A: (0.00)[1.00] + (0.00)[1.00] + (0.03)[0.99] + (0.48)[0.60] + (0.41)[0.07] + (0.07)[0.01] = 0.3471 So the probability that B wins is 1 - [0.4091 + 0.3471] = 0.2438

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