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A man claiming to be a psychic offers to help a pòolice chief investigating a kindnapping. To test him, the chief arranges a line-up of gloves: one left at the scene of the crime, the other four belonging to various police officers. Similarly, he places the victim's sneaker in a line with four other sneakers, and the victim's teddy bear among four other bears. (a) What is the probability that the psychic will get exactly two out of three tests right, if he is guessing at random? (b) What is the probability that the psychic will not get any of the tests right, if he is guessing at random?

A man claiming to be a psychic offers to help a pòolice chief investigating a kindnapping. To test him, the chief arranges a line-up of gloves: one left at the scene of the crime, the other four belonging to various police officers. Similarly, he places the victim's sneaker in a line with four other sneakers, and the victim's teddy bear among four other bears. (a) What is the probability that the psychic will get exactly two out of three tests right, if he is guessing at random? (b) What is the probability that the psychic will not get any of the tests right, if he is guessing at random?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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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A man claiming to be a psychic offers to help a police chief investigating a kindnapping. To test him, the chief arranges a line-up of gloves: one left at the scene of the crime, the other four belonging to various police officers. Similarly, he places the victim's sneaker in a line with four other sneakers, and the victim's teddy bear among four other bears. (a) What is the probability that the psychic will get exactly two out of three tests right, if he is guessing at random? (b)' What is the probability that the psychic will not get any of the tests right, if he is guessing at random?
Transcribed Image Text:A man claiming to be a psychic offers to help a police chief investigating a kindnapping. To test him, the chief arranges a line-up of gloves: one left at the scene of the crime, the other four belonging to various police officers. Similarly, he places the victim's sneaker in a line with four other sneakers, and the victim's teddy bear among four other bears. (a) What is the probability that the psychic will get exactly two out of three tests right, if he is guessing at random? (b)' What is the probability that the psychic will not get any of the tests right, if he is guessing at random?
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