A sporting goods store announces a "Wheel of Savings" sale. Customers select the merchandise they want to purchase, then at the cash register they spin a wheel to determine the size of the discount they will receive. The wheel is divided into 12 regions, like a clock. Six of those regions are red and award a 10% discount. The three white regions award a 20% discount and two blue regions a 40% discount. The remaining region is gold, and a customer whose lucky spin lands there gets a 100% discount - the merchandise is free a. Create a probability model for the possible discounts on the "Wheel".

b. What is the probability that a customer gets at least a 40% discount?

c. What is the probability that two customers in a row get only 10% discounts?

d. What is the probability that three consecutive customers all get 20% discounts? e. What is the probability that there is at least one gold winner among the first five