At a certain gas station, 40% of the customers use regular unleaded gas (A1), 35% use midgrade unleaded gas (A2), and 25% use premium gas (A3). Of those customers using regular gas, only 30% fill their tank (event B). Of those customers using extra gas, 60% fill their tank, whereas of those using premium gas, 50% fill their tank.(a) What is the probability that the next customer will requestplus gas and fill their tank ?(b) What is the probability that the next customer fills thetank ?