A sporting goods store announces a \"Wheel of Savings\" sale. Customers select t

Question

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. 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%. The remaining region is gold, and a customer whose lucky spin lands there gets a 50% discount! I. What is the probability that a customer gets at least a 25% discount? 1. 5 10 10 50 10 25 25 5 30 What is the probability that two customers in a row get only 5% discounts? 3. What is the probability that three consecutive customers all get 25% discounts? 4. What is the probability that none of the first four customers gets a discount over 25%? 5. What is the probability that the first gold winner (50%) is the fifth customer in line? 6. What is the probability that there is at least one gold winner among the first six customers?

Explanation / Answer

(1)

Probability of getting atleast 25% discount = (2+2+1)/12 = 0.417

(2)

Probability that two customers get 5% discount in a row = (4/12)*(4/12) = 0.11

(3)

Probability that three customers get 25% discount in a row = (2/12)3 = 0.0046

(4)

Probability that none of the first four customers gets over 25% discount = ((4+3+2)/12)4 = 0.316

Hope this helps !

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