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Organizers of an outdoor summer concert in Toronto are concerned about the weather conditions on the day of the concert. They will make a profit of $42,000 on a clear day and $12,000 on a cloudy day. They will make a loss of $6,000 if it rains. The weather channel has predicted a 52% chance of rain on the day of the concert. Calculate the expected profit from the concert if the likelihood is 11% that it will be sunny and 37% that it will be cloudy.
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