Find the probability that the person selected is male given that they are colorblind.

Question

Statistics show that 8% of men in a particular county are colorblind and 0.5% of women are colorblind. If 52.3% of the population is female, find the probability that the person selected is male given that they are colorblind.

Answer 1

Alana,

 

8% of men are colorblind and 0.5% of women are colorblind.

 

If 52.3% of population are female,

 

If the population consists of 1000 people, the 523 are female and 477 are male.

 

8% of men are colorblind = .08(477) = 38.16 men are colorblind

0.5% of women are colorblind = .005(523) = 2.615 women are colorblind

 

Probability that a person chosen at random is male, given that they are colorblind

 

38.16 / (38.16 + 2.615) = .9359 = 93.6%