What is the probability that ONE person out of a couple from the study has brown
ID: 3221517 • Letter: W
Question
What is the probability that ONE person out of a couple from the study has brown eyes? Assume the couple is randomly chosen.
2.20 Assortative mating. 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 204 Scandinavian men and their female partners. The table below summarizes the 65 results. For simplicity, we only include heterosexual relationships in this exercise. Partner (female) Blue Brown Green Total Blue 78 23 13 114 12 Brown 19 54 Self (male Green 11 16 36 204 Total 108 55 41Explanation / Answer
Female
Blue
Brown
Green
Total
Male
Blue
78
23
13
114
Brown
19
23
12
54
Green
11
9
16
36
Total
108
55
41
204
In all, there are 204 couples.
Number (#) of couples in which ONE person has brown eyes
= #(brown male, blue female)+ #(brown male, green female) +
+ #(blue male, brown female) + #(Green male, brown female)
= 19 + 12 + 23+ 9
= 63
Therefore, the probability that ONE person out of a couple from the study has brown eyes = 63/204 = 0.308824
Female
Blue
Brown
Green
Total
Male
Blue
78
23
13
114
Brown
19
23
12
54
Green
11
9
16
36
Total
108
55
41
204
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