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Conditional Probability, Intersection, and independence

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In a study to determine frequency and dependency of color blindness relative to females and males 1000 people were chosen at random and the following results were recorded:

A. Convert the table to a probability table by dividing each entry by 1,000.

B. What is the probability that a person is a woman, given that the person is color blind?

C. What is the probability that a person is color blind, given that the person is a male?

D. Are the events color blindness and male independent?

E. Are the events of color blindness and female independent?

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Conditional Probability, Intersection, and independence are summarized in this solution.

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In a study to determine frequency and dependency of color blindness relative to females and males 1000 people were chosen at random and the following results were recorded:

A. Convert the table to a probability table by dividing each entry by 1,000.

Female Male Total
Color-Blind 0.002 0.022 0.024
Normal 0.502 ...

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