Ms. M has 12 blouses and 4 skirts in her drawer. Of her blouses,

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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Ms. M has 12 blouses and 4 skirts in her drawer. Of her blouses, 2 are red, 4 are blue,
and 6 are black. Of her skirts, one is gray, one is khaki, and two are black. Ms. M has 5
favorite blouses and 2 favorite skirts among the clothes in her drawer.
a.) What is the probability that at least two of her favorite blouses are either black or
red?
b.) Given that the blouse is black, the probability that it is her favorite is ½, Also, the
probability the blouse is her favorite given that it is red is 1½. Show using total probability
and Bayes' Theorem the probability that she picks a blouse that is blue given that it is
her favorite blouse.
Transcribed Image Text:Ms. M has 12 blouses and 4 skirts in her drawer. Of her blouses, 2 are red, 4 are blue, and 6 are black. Of her skirts, one is gray, one is khaki, and two are black. Ms. M has 5 favorite blouses and 2 favorite skirts among the clothes in her drawer. a.) What is the probability that at least two of her favorite blouses are either black or red? b.) Given that the blouse is black, the probability that it is her favorite is ½, Also, the probability the blouse is her favorite given that it is red is 1½. Show using total probability and Bayes' Theorem the probability that she picks a blouse that is blue given that it is her favorite blouse.
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