Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random.
List the sample space of all possible pairs of these five children.
a.
Determine the probability that one child of each gender will be selected.
Report your answer to two decimal places; e.g., 0.xx
b. Determine the probability that two boys will be selected. Report your answer to two decimal places
c. Determine the probability that two girls will be selected. Report your answer to two decimal places
d. Determine the expected value of the number of girls who will be selected. Report answer to one decimal place.
e. Determine the expected value of the number of boys who will be selected. Report your answer to one decimal place
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