Difference between revisions of "2017 AMC 12B Problems/Problem 20"
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Revision as of 21:49, 16 February 2017
Real numbers and are chosen independently and uniformly at random from the interval . What is the probability that , where denotes the greatest integer less than or equal to the real number ?
when . The chance that is . when . The chance that is . This creates an infinite series, where the common ratio is . The solution is thus