3. Based on years of experience the manager of a campus cafeteria determined the

Question

3. Based on years of experience the manager of a campus cafeteria determined the following probabilities for most popular food items being ordered by a random student: Coffee Hamburger Fries Hamburger, fries and 40 .30 .50 .10 coffee combo He knows that no students would order coffee and tea. The choice of drink is independent of any choice of food A student ordering a hamburger will order fries 80% of time. Find the probability that the next student will order at least one of the three most popular items: the hamburger, fries or coffee.

Explanation / Answer

P(coffee) = 0.4

P(Hamburger)=0.3

P(Fries)=0.5

P(hamburger,coffee or fries combo) = 0.1

P(at least 1 ) = 1-P(none) = 1-(0.6)*(0.7)*(0.5)*(0.9) = 0.8111

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