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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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