In a population, 1% of the people suffer from hereditary

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QUESTION:

In a population, 1% of the people suffer from hereditary genetic deafness. The hearing allele is dominant and is denoted by D. The recessive allele for deafness is denoted by d. Kim and John, from the population, are married and have a son named Dan. If Kim and Dan are both deaf, what is the probability that John is also deaf?

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QUESTION:

In a population, 1% of the people suffer from hereditary genetic deafness. The hearing allele is dominant and is denoted by D. The recessive allele for deafness is denoted by d. Kim and John, from the population, are married and have a son named Dan. If Kim and Dan are both deaf, what is the probability that John is also deaf?

ANSWER:

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Since Kim and Dan are both deaf, and allele for deafness recessive, they have genotypes . That means that one  is from John so his genotype is  or . Let  be the event that his genotypes is  and  is the event that his genotypes is . Let  be the event that Dan is deaf.

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