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You're about to get on a plane to Seattle. You want to know if it's raining. You call 3 random friends who live there and ask each if it's raining. Each friend has a 2/3 chance of telling you the truth and a 1/3 chance of messing with you by lying. All 3 friends tell you that Yes it is raining. What is the probability that it's actually raining in Seattle?
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Camel and Banana
A person has 3000 bananas and a camel. The person wants to transport maximum number of bananas to a destination which is 1000 KMs away, using only the camel as a mode of transportation. The camel cannot carry more than 1000 bananas at a time and eats a banana every km it travels. What is the maximum number of bananas that can be transferred to the destination using only camel (no other mode of transportation is allowed).
Aricent Practice Set