A local hardware store has a "Savings Wheel" at the checkout. Customers get to spin the wheel and, when the wheel stops, a pointer indicates how much they will save. The wheel can stop in any one of 50 sections. Of the sections, 10 produce 0% off, 20 sections are for 10% off, 10 sections for 20%, 5 for 30%, 3 for 40%, 1 for 50%, and 1 for 100% off. Assuming that all 50 sections are equally likely,
a. What is the probability that a customer's purchase will be free (100% off)?
b. What is the probability that a customer will get no savings from the wheel (0% off)?
c. What is the probability that a customer will get at least 20% off?