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

There's a problem here. The probabilities need to add up to 1 but they only add up to 0.98. So I will assume that probability of a hole-in-one is actually 0.02 and you mistyped. If this is not the case, then you may need to adjust the numbers below. Tie: both have to get same number of strokes, so: (0.02)(0.02) + (0.14)(0.14) + (0.68)(0.68) + (0.16)(0.16) = 0.508 Since the probabilities are the same for each golfer, the probability that A wins must be equal to the probability that B wins. So P(A wins) + P(B wins) + 0.508 = 1 2*P(A wins) = 0.492 P(A wins) = 0.246 = P(B wins)

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