Unformatted text preview: s in the two coins. Then, Pr(A,B) = Pr(A) f) An experiment is conducted where the number of possibilities is 10. The number of outcomes associated with event A is 5. Then, Pr(A) = 1/2. Answers: Problem 1. (10 choose 5)/2 Problem 2. a) Viveck can 5 pick problems in (20 choose 5) ways. Sundar can pick 5 problems in (20 choose 5) ways. Since they pick problems independently, the total number of possibilities for the two discussion sections are (20 choose 5) x (20 choose 5) Let A = event that there are no common problems in the two discussion sessions. Plan to evaluate the number of possibilities in A. 1. Viveck picks 5 problems in (20 choose 5) ways. 2. Since no problem has to be common, 15 problems remain for Sundar. He can pick 5 problems from these in (15 choose 5) ways Number of possibilities in A...
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