On a particular day, a restaurant that is open for lunch and dinner had 186 customers. Each customer came in for one meal. An employee recorded at which meal each customer came in and whether the customer ordered dessert. The data are summarized in the table below.DessertNo dessertLunch15 69Dinner39 63Suppose a customer from that day is chosen at random.Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth.(If necessary, consult a list of formulas.)(a)What is the probability that the customer did not order dessert?(b)What is the probability that the customer came for dinner or did not order dessert?
Question
On a particular day, a restaurant that is open for lunch and dinner had 186 customers. Each customer came in for one meal. An employee recorded at which meal each customer came in and whether the customer ordered dessert. The data are summarized in the table below.DessertNo dessertLunch15 69Dinner39 63Suppose a customer from that day is chosen at random.Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth.(If necessary, consult a list of formulas.)(a)What is the probability that the customer did not order dessert?(b)What is the probability that the customer came for dinner or did not order dessert?
Solution
(a) To find the probability that the customer did not order dessert, we need to calculate the ratio of the number of customers who did not order dessert to the total number of customers. From the table, we can see that 69 customers did not order dessert for lunch and 63 customers did not order dessert for dinner. Therefore, the total number of customers who did not order dessert is 69 + 63 = 132. The total number of customers is given as 186. So, the probability that the customer did not order dessert is 132/186 = 0.71.
(b) To find the probability that the customer came for dinner or did not order dessert, we need to calculate the ratio of the number of customers who came for dinner or did not order dessert to the total number of customers. From the table, we can see that 63 customers did not order dessert for dinner. Therefore, the total number of customers who came for dinner or did not order dessert is 63 + 39 = 102. The total number of customers is given as 186. So, the probability that the customer came for dinner or did not order dessert is 102/186 = 0.55.
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