One day, an elf jumps out at you from behind a garbage can and proposes a wager. He says that if the weather in Leipzig, Germany tomorrow is sunny, he'll give you $20, if it's cloudy (but dry) he'll give you $1, but if neither of those are the case you owe him $15. Helpfully, he also provides you data that indicates that the probability of sunny weather in Leipzig tomorrow is 40% and cloudy-but-dry is 10%. How much do you expect to win or lose from this wager (if you accept it)? A)Win $15.60 B)Lose $6.00 C)Lose $7.50 D)Win $0.60 E)Win $4.00

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section: Chapter Questions
Problem 12RP
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One day, an elf jumps out at you from behind a garbage can and proposes a wager. He says that if the weather in Leipzig, Germany tomorrow is sunny, he'll give you $20, if it's cloudy (but dry) he'll give you $1, but if neither of those are the case you owe him $15. Helpfully, he also provides you data that indicates that the probability of sunny weather in Leipzig tomorrow is 40% and cloudy-but-dry is 10%. How much do you expect to win or lose from this wager (if you accept it)?

A)Win $15.60

B)Lose $6.00
C)Lose $7.50
D)Win $0.60
E)Win $4.00

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