Allele frequency is the relative frequency of a certain allele type among a certain population. Suppose...

Allele frequency is the relative frequency of a certain allele type among a certain population. Suppose that within a certain area, the allele frequency of A, B and O are 0.2, 0.1, and 0.7, respectively. Suppose that when randomly picking up a person, the first allele type is independent of the second allele type regardless of the type. Calculate the following probabilities:

• The probability for this person to have type O blood.

• The probability for this person to have type A blood.

• The probability for this person to have type B blood.

• The probability for this person to have type AB blood.

Solutions

Expert Solution

The probability for this person to have type O blood = Probability that the first allele type is O * Probability that the second allele type is O = 0.7 * 0.7 = 0.49

The probability for this person to have type A blood = Probability that the first allele type is A * Probability that the second allele type is A + Probability that the first allele type is A * Probability that the second allele type is O + Probability that the first allele type is O * Probability that the second allele type is A = 0.2 * 0.2 + 0.2 * 0.7 + 0.7 * 0.2 = 0.32

The probability for this person to have type B blood = Probability that the first allele type is B * Probability that the second allele type is B + Probability that the first allele type is B * Probability that the second allele type is O + Probability that the first allele type is O * Probability that the second allele type is B = 0.1 * 0.1 + 0.1 * 0.7 + 0.7 * 0.1 = 0.15

The probability for this person to have type AB blood = Probability that the first allele type is A * Probability that the second allele type is B + Probability that the first allele type is B * Probability that the second allele type is A = 0.2 * 0.1 + 0.1 * 0.2 = 0.04

milcah answered 8 months ago

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