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Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7,

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Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What's the probability that I drink tea and finish the lecture early? 2) What's the probability that I finish the lecture early? 3) Given the lecture finishes early, what's the probability I drank coffee

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