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Your college is having a housing lottery. The probability that you will get a single...

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Your college is having a housing lottery. The probability that you will get a single room all to yourself next year is 0.2, the probability of getting a double is 0.6, and the probability of getting a triple is 0.2. All of the triples have air conditioning, half of the doubles have air conditioning, and only 10% of the singles have air conditioning. What is the probability that your dorm room next year will have air conditioning?

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