Problem 2. Alice and Bob have a disagreement. Alice says that she can distinguish between Coke and Pepsi by taste and is

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Problem 2. Alice and Bob have a disagreement. Alice says that she can distinguish between Coke and Pepsi by taste and is

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Problem 2 Alice And Bob Have A Disagreement Alice Says That She Can Distinguish Between Coke And Pepsi By Taste And Is 1
Problem 2 Alice And Bob Have A Disagreement Alice Says That She Can Distinguish Between Coke And Pepsi By Taste And Is 1 (73.91 KiB) Viewed 31 times
Problem 2. Alice and Bob have a disagreement. Alice says that she can distinguish between Coke and Pepsi by taste and is correct 80% of the time. Bob says that she cannot distinguish the two, and just guesses when she tastes each (so is correct 50% of the time). So they agree on an experiment with a bet. Alice will do a "blind taste test" with ten glasses of soda, and guess as she drinks each one. Alice will win the bet if she guesses eight or more correctly otherwise Bob will win. What is the probability that Alice wins the bet, assuming that she is correct? What is the probability that Bob wins the best, assuming that he is correct?
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