Suppose we define the Alzheimer’s disease phenotype as being diagnosed with the disease by age 75 years. In the human population, there are three alleles of the ApoE gene: ε2, ε3, ε4. They form an allelic series such that:   70% of 75 year olds with the ε4/ ε4 genotype have the Alzheimer’s phenotype 60% of 75 year olds with the ε3/ ε4 genotype have the Alzheimer’s phenotype 40% of 75 year olds with the ε3/ ε3 genotype have the Alzheimer’s phenotype 30% of 75 year olds with the ε2/ ε4 genotype have the Alzheimer’s phenotype 10% of 75 year olds with the ε2/ ε3 genotype have the Alzheimer’s phenotype   If I have the ε4/ ε4 genotype and my wife has the ε2/ ε3 genotype, what is the probability that our child will have Alzheimer’s by age 75. Explain your reasoning. [Can be answered in less than 75 words]

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