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2. At a certain gas station, 50% of the customers use regular gas (A1), 30% use plus gas (A2), and 20% use premium (A3). Of

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2. At a certain gas station, 50% of the customers use regular gas (A1), 30% use plus gas (A2), and 20% use premium (A3). Of those customers using regular gas, 40% fill their tanks (event B). Of those customers using plus, 70% fill their tanks, whereas of those using premium, 80% fill their tanks. If the next customer fills the tank, what is the probability that plus gas is requested? Round your answer to three decimal places

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