Interview Query

Mutated Offspring

5
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An animal appears normal if it has two normal genes or one normal and one mutated gene. If it has two mutated genes, it appears mutated. Any given animal has a 50% chance to contribute either of its genes to its offspring.

Animals AA and BB are parents of CC and DD. CC and DD are parents of EE. AA and BB both have one normal and one mutated gene. We know CC and DD both appear normal.

What is the probability that DD has one normal and one mutated gene given that EE appears normal?

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