I have a statistics problem and, although I have solved most of it, I am stuck for quite some time in the last question.
Say that there we have a population where the analogy of men to women is θ. Suppose that the probability of a woman being colorblind is $q^2$ and the probability of a man being colorblinf $q$.
Up to now I have found, if choosing one random person, the probability of him/her being colorblind and also that probability of a person being a man, given that he is colorblind. However, now I can't find a way to approach this question:
Suppose we choose two people out of the population radomly. What is the probability that at least one person is colorblind?
I was thinking of approaching it by finding the probability of none being colorblind and then finding its compliment, but I can't figure out how to do this, given that we have a different percentage for men and women. Any help on this would be appreciated. Thank you!