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Let's think about the cook who is a great chef. His condition can have two kinds...

Let's think about the cook who is a great chef. His condition can have two kinds of status, good and bad. The probability that he has a good condition and a bad condition is equal. On a good day where his condition is good, the time taken by chef's cooking is given by the uniform random variable U[0.5, 1]. On a bad day where his conditions is bad, the time for his cooking is given by the uniform random variable U[0.5,1.5]. Today, he finished his cook in less than 3/4 hours. What is the conditional probability that today was a bad day?

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