18.44 Chapter 2: MIT18_440S14_ProblemSet2.pdf
Document Summary
18. 440 problem set two, february 24: from ross 8th edition chapter two, problem 25: a pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that a 5 occurs rst. Let en denote the event that a 5 occurs on the nth roll and no 5 or 7 occurs on the rst (n 1) rolls. What is the probability that both groups will have the same number of men: theoretical exercise 10: prove that p (e f g) = P (e)+p (f )+p (g) p (ecf g) p (ef cg) p (ef gc) 2p (ef g): theoretical exercise 15: an urn contains m white and n black balls. If a random sample of size r is chosen, what is the probability that it contains exactly k white balls: theoretical exercise 20: consider an experiment whose sample space consists of a countably in nite number of points.
