At gas station on Route 66, 40% of customers use regular gas (event R), 35% use mid-grade gas (event M), and 25% use premium gas (event P). Of the customers that use regular gas, 30% fill their tanks (event F). Of the customers that use mid-grade gas, 60% fill their tanks, while of those that use premium, 50% fill their tanks. Assume that each customer is drawn independently from the entire pool of customers.

1. (3 points) What is the probability that the next customer will request regular gas and fill the tank? 2. (3 points) What is the probability that the next customer will fill the tank with any kind of gas? 3. (3 points) Given that the next customer fills the tank, what is the conditional probability that they use regular gas?