Probability golf question. Please help. Stumped.?

2020-01-27 4:30 pm
Rory and Luke are playing in the final of a matchplay golf tournament. On the first hole, they each have a ten foot putt for birdie.The probability that Rory makes the putt is 0.8 and the probability that Luke makes the putt is 0.7, and these events are independent. Assume that neither player will take more than two putts to complete the hole. The probability, to the nearest hundreth, that Rory wins the hole is ?
The probability, to the nearest hundredth, that neither player wins the hole is?

回答 (1)

2020-01-27 10:18 pm
"neither player will take more than two putts to complete the hole."
This is equivalent to saying the second putt always goes in.

Thus the only way for Rory to win is for him to make the first putt (p = 0.8) and for Luke to miss it (p = 0.3).

And for neither to win they must both take one shot or both take two shots.

I'm assuming this is enough to get you to the answer.


收錄日期: 2021-04-24 07:48:14
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