umbrella

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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On a rainy day, 30% of people carry an umbrella, 60% wear a raincoat, and 20% have none of them (not carrying an umbrella and not wearing a raincoat). a. What is the probability that a randomly selected person is both carrying an umbrella and wearing a raincoat? b. What is the probability that a randomly selected person has a raincoat given that they carry an umbrella? c. Are the events "carrying an umbrella" and "wearing a raincoat" independent? Justify your answer. d. Are the events "carrying an umbrella" and "wearing a raincoat" mutually exclusive?
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