Question

Suppose that 5 percent of men and 0.25 percent of women are colorblind. A color-blind person is chosen at random. What is the probability of this person being male? Assume that there are an equal number of males and females.

Answer 1

Answer:

The answer is 0.95%.

Step-by-step explanation:

we want to get P(male|colorblind).

P(male|colorblind) = P(male ∩ colorblind)  / P(colorblind)    ........(1)

=  P(colorblind | male)P(male)  / P(colorblind|male)P(male) + P(colorblind|female)P(female)  ........(2)

=  0.05 × 0.5  / 0.05 × 0.5 + 0.0025 × 0.5       ..........(3)

= 0.95

Thus the probability of this person being male is 0.95%.

Answer 2

there are 1000men and 1200 women in a certain village.with 5% of males and 0.25% of females colorblind. a person is selected at random. find the probability that the person is colour blind