46. You and your friend are two of 10 students eligible to be selected to go to the BETA competition. Your school is going to select 2 students at random. This time the first person chosen will get their expenses fully paid and the second person drawn will get half of their expenses paid. What is the probability that you will be drawn first, and your friend will be selected second? Note: You can use the online calculators to help you solve this problem. a. What are the total number of outcomes possible in the sample space? Show your work here: b. List the ways you and your friend will be chosen? Remember order matters. List the ways you and your friend will be chosen here: c. What is the probability that you are chosen first and your friend is chosen second? P (you first and friend second) =

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