Mitchell and Cameron have two adopted children. We are interested in the biological sex (Male/Female) of...

Mitchell and Cameron have two adopted children. We are interested in the biological sex (Male/Female) of their children.

(a)[3 pts] Give the sample space for thesex of their two children.1 full point out of the 3will be for using the correct format.

(b)[2 pts] What is the probability that both children are girls, given that the first child is a girl? You do not have to show a lot of mathematical work for this, but the more work you show, the more partial credit you may get if your answer is wrong.

(c)[3 pts] We ask Mitchell: “Do you guys have at least one daughter?”He responds: “Yes!” Knowing that Mitch & Cam have at least one daughter, what is the probability now that both children are girls?

Thank u

Solutions

Expert Solution

# Note: Previous Knowledge of random variable, probability, conditional probability, intersection, Baye's theorem, probability mass function would be helpful to understand.

orchestra answered 1 year ago

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