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?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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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