Assortative mating is a nonrandom mating pattern where individuals with similar genotypes and/or phenotypes mate with one another more frequently than what would be expected under a random mating pattern. Researchers studying this topic collected data on eye colors of 196 Scandinavian men and their female partners. The table below summarizes the results (rows represent male eye color while columns represent female eye color). For simplicity, we only include heterosexual relationships in this exercise. (please round any numerical answers to 4 decimal places)

Blue Brown Green Total
Blue 65 26 26 117
Brown 14 21 11 46
Green 9 5 19 33
Total 88 52 56 196

a) What is the probability that a randomly chosen male respondent or his partner has blue eyes?

b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue eyes?

c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes?

d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes?

e) Does it appear that the eye colors of male respondents and their partners are independent? Explain.
Yes, people don't choose spouses based on eye color
No, it is much more likely for a male with blue eyes to have a blue-eyed partner than it is for a male with any other eye color