At a gas station, 50% of the customers use regular gas, 30% use mid-grade gas and 20% use premium gas. Of those customers using regular gas, only 30% fill their tanks. Of those customers using mid-grade gas, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. If the next customer fills the tank, what is the probability that he uses premium gas

The probability is 0.2326 or 23.26%.

Step-by-step explanation:

The probability that a random customer fills their tank with premium gas is:

The probability that a random customer fills their tank is given by:

Therefore, the probability that a customer used premium gas given that hey have filled their tank is:

The probability is 0.2326 or 23.26%.

equal to

step-by-step explanation: