Left-Handed Golfers Probability Question

Reply Tue 4 Dec, 2012 10:15 am
Had someone ask me this recently, and would appreciate any help:

Assume 1 in every 10 golfers is left-handed.

Question: A twosome (2 golfers) tees off, followed by a second twosome. What are the odds that at least one of the golfers in EACH twosome is left-handed?

Would like to know the answer AND how you calculate the answer. Many thanks.
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Reply Tue 4 Dec, 2012 10:28 am
that sounds like math to me...

but it brings to mind the old joke about the guy talking to his wife about death. and she says that if she passes first, she wants him to remarry. but she doesn't want him to let his next wife use her golf clubs, as they are special to her.

and his reply is not to worry about it as his girlfriend is left handed...
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Reply Tue 4 Dec, 2012 09:49 pm
The probability that at least one of a twosome is left-handed is one minus the probability that both are right-handed:
1 - 0.9^2 = 1 - 0.81 = 0.19

The probability that both twosomes have at least one left-handed golfer is the square of the above probability:
0.19^2 = 0.0361

The odds are 9639 to 361 (approximately 26.7 to 1) against.
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