Question
Suppose a family has three children. What is the probability that all three children are girls? Two are girls? Only one is a girl?
Suppose a family has three children. What is the probability that all three children are girls? Two are girls? Only one is a girl? None are girls? A tree diagram can be used to determine the theoretical probabilities of each number of girls. Key: G=girl B= boy 1st Child 2nd Child 3rd Child G G G Outcome GGG GGB GBG GBB BGG BGB BBG BBB Number of Girls 3 2 2 1 Total outcomes 2 1 1 Assuming that when a child is born the probability that it is a girl is 0.5, are the outcomes shown above equally likely? Explain. Complete the following to summarize the results from the tree diagram. Number of outcomes with 0 girls 1 girl 2 girls 3 girls 0
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Microeconomics An Intuitive Approach with Calculus
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