In a hotel, suppose 70% of the rooms have showers and 30% have baths. 20% of the rooms with showers are painted blue and 30% of the rooms with baths are painted blue. a)  If a room is chosen at random from the hotel, what is the probability that the room is painted blue? b)  If a randomly chosen room is blue, what is the probability the room has a shower?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a hotel, suppose 70% of the rooms have showers and 30% have baths. 20% of the rooms with showers are painted blue and 30% of the rooms with baths are painted blue.

  1. a)  If a room is chosen at random from the hotel, what is the probability that the room is painted blue?

  2. b)  If a randomly chosen room is blue, what is the probability the room has a shower?

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