Question

Suppose that 5 men in 100 are colorblind, while 24 women in 10,000 are colorblind. Compute the probability that a colorblind individual is male. Assume that the population contains an equal number of males and females. Round your answer to two decimal places. (If necessary, consult a list of formulas.)

Answer 1

Let,

M: Male individual

F: Female individual

C: Colorblind Individual

Given:

To find:

$P(M|C)=?$

By Bayes formula:

thus,

.............(1)

Also by total probability theorem,

thus,

Now in (1):

Thus the probability that a colorblind individual is blind is 0.95.

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