For genetic reasons, color blindness is more common in men than women: 5 in 100 men and 25 in 10,000 women suffer from color blindness. 

a. Define events, and identify in words these proportions as conditional probabilities.

b. If the population is half male and half female, what proportion of the population is color blind? Use a tree diagram or contingency table with frequencies to portray your solution, showing what you would expect to happen with 20,000 people.

c. Given that a randomly chosen person is color blind, what’s the probability that person is female? Use the tree diagram or table from part b to find the answer.