Suppose that 5% of men and 0.25% of women are color-blind from a population that is 50% men and 50% women. (a) A person is chosen at random, and that person is color-blind. What is the probability that the person is male? (b) A person is chosen at random, and that person is not color-blind. What is the probability that the person is male? (c) Two people are chosen at random, and they are both color-blind. What is the probability they are the same gender?
Suppose that 5% of men and 0.25% of women are color-blind from a population that is 50% men and 50% women. (a) A person is chosen at random, and that person is color-blind. What is the probability that the person is male? (b) A person is chosen at random, and that person is not color-blind. What is the probability that the person is male? (c) Two people are chosen at random, and they are both color-blind. What is the probability they are the same gender?
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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Question
Suppose that 5% of men and 0.25% of women are color-blind from a population that is 50% men and 50% women.
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(a) A person is chosen at random, and that person is color-blind. What is the probability that the person is male?
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(b) A person is chosen at random, and that person is not color-blind. What is the probability that the person is male?
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(c) Two people are chosen at random, and they are both color-blind. What is the probability they are the same gender?
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Follow-up Question
For 3c why is my approach incorrect?
1 - [ P(male | colorblind) * P(female | colorblind) ]
1 - [P(E1|A) * P(E2|A)] = 1 - [0.9524 * (1-0.9524)] = 0.9547
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