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 recieve. The wheel is divided into 12 regious, likc a clock. Four of those regions are red, and award a 5% discount. The three white regions award a 10% discount, two blue regions a 25% discount, two green regions a 30% discount. The remaining regioin is gold and a customer whos lucky spin lands there gets a 50% discount!
1. What is the probability that a customer gets at least a 25% discount?
at least a 25% discount is 5/12
2. What is the probability that two customers in a row get only 5% discounts?
getting 5% is 4/12. 2 in a row is 4/12 x 4/12 = 1/9
3. What is the probability that three consecutive customers all get 25% discounts?
getting 25% is 2/12. 3 in a row is 2/12 x 2/12 x 2/12 = 1/216
4. What is the probability that none of the first four customers gets a discount over 25%?
getting not over 25% is 9/12. 4 in a row is 9/12 x 9/12 x 9/12 x 9/12 = 81 / 256