A Coca-Cola Freestyle machine lets customers choose 1 of 31 different sodas as a

Question

A Coca-Cola Freestyle machine lets customers choose 1 of 31 different sodas as a base, and then choose either no flavor or one of 15 flavors to add to their beverage. Assuming the choice of any base soda is equally likely, and the choice of either no flavor or any of the 15 flavors is also equally likely, and the choices of soda base and flavor/no flavor are independent. What is the probability that a randomly selected beverage contains Grape-flavored Coke Zero or Grape-flavored Diet Coke, where grape is one of the 15 flavors and Diet Coke and Coke Zero are two of the 31 base sodas? Round your answer to three decimal places.

Explanation / Answer

probability that a randomly selected beverage contains Grape-flavored Coke Zero or Grape-flavored Diet Coke

=(2/31)*(1/15)=0.004

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