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4 decimal places please :) Maison Premiere is a famous bar in New York City. Based...

4 decimal places please :)

Maison Premiere is a famous bar in New York City. Based off past data, management knows 61% of customers buy mixed drinks and 49% of their customers order appetizers. Analysis has shown that 41% of customers buy both a drink and an appetizer. 28% of customers also order dessert but seems to be independent of whether they order appetizers or drinks. (Organize the information before starting parts a through f)

Let D = buys a drink, A = orders an appetizer, S = orders dessert.

(Enter all answers rounded to 4 decimals)

a)         Suppose a customer bought a drink. What is the probability the customer will order an appetizer?

b)         If a customer ordered an appetizer, what is the probability that the customer will buy a drink?

c)         Suppose a customer bought a drink. What is the probability that customer does not buy an appetizer?

d)        Given a customer ordered dessert, what’s the probability they order an appetizer?

e)         What’s the probability a customer orders a dessert and appetizer?

f)          What’s the probability the customer buys a drink or an appetizer?

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