а. а. 3. (5 points) A couple expecting their first child has a genetic analysis completed in order to predict the physic

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а. а. 3. (5 points) A couple expecting their first child has a genetic analysis completed in order to predict the physical traits of their child. First, it is determined that the child has a 32% chance of having brown hair, a 20% chance of having blond hair, and a 48% chance of having black hair. If the child has brown hair, then there is a 30% chance that is has green eyes and a 70% chance that is has brown eyes. If the child has blond hair, then the probability of having green eyes is 40%, while the likelihood of having brown eyes is 60%. Finally, if the child has black hair, the chance of green eyes is 15%, and the chance of brown eyes is 85%. What is the probability that the couple's child will have green eyes. Hint: a tree might be helpful here.