1. 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. What is the probability that you and your friend will be selected? Note: You can use the online calculators to help you solve this problem. a. What is the total number of outcomes possible in the sample space? Show your work here: ()= 10C2 101 21(10-2)! =45 2!8! b. How many ways can you and your friend be chosen? c. What is the probability that you and your friend are chosen? P (you and friend) =

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