Question

A company receives visitors in its facilities and hosts them in any of three hotels in the city: the Lost Paradise, the Enchanted Corner or the King's Palace, in a proportion of 18.5%, 32% and 49.5% respectively, of which has had information that they have been given poor service at 2.8%, 1% and 4% respectively. If a visitor is selected at random.

a) What is the probability that he or she has not been given a bad service?

b) And it is known that he or she did not complain about the service provided, what is the probability that he or she stayed in Lost Paradise?

c) If it is known that the selected visitor complained about the service provided, what is the probability that he or she stayed at hotel Enchanted Corner?

Please provide a step by step solution considering Bayes' Theorem.

Answer 1