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At a certain gas station, 45% of the customers use regular gas (A1), 30% use plus gas (A2), and 25% use premium (A3). Of those

At a certain gas station, 45% of the customers use regular gas (A1), 30% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 40% fill their tanks (event B). Of those customers using plus, 65% fill their tanks, whereas of those using premium, 45% fill their tanks. Consider the following additional information on credit card usage:

80% of all regular fill-up customers use a credit card.

60% of all regular non-fill-up customers use a credit card. 55% of all plus fill-up customers use a credit card.

60% of all plus non-fill-up customers use a credit card.

30% of all premium fill-up customers use a credit card.

40% of all premium non-fill-up customers use a credit card.

Compute the probability of each of the following events:

A) {premium and credit card},

B) {fill-up and credit card},

C) {credit card}.

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