+-.2 points DevoreStat92. E.074. My Notes Ask Your Teach Suppose that the propor

Question

+-.2 points DevoreStat92. E.074. My Notes Ask Your Teach Suppose that the proportions of blood phenotypes in a particular population are as follows: A B AB o 0.40 0.08 0.03 0.49 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)

Explanation / Answer

P(O) = 0.49
As probability of occurrance of phenotypes is independent, probability of both phenotypes of O is P(O) * P(O) = 0.49*0.49 = 0.2401

Probability of both A, 0.4*0.4 = 0.16
Probability of both B, 0.08*0.08 = 0.0064
Probability of both AB, 0.03*0.03 = 0.0009
Probability of both O, 0.49*0.49 = 0.2401

Hence required probability that both phenotypes match is 0.16 + 0.0064 + 0.0009 + 0.2401 = 0.4074

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