Difference between revisions of "2003 AMC 12A Problems/Problem 24"
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Revision as of 13:45, 28 February 2010
Problem
Objects and move simultaneously in the coordinate plane via a sequence of steps, each of length one. Object starts at and each of its steps is either right or up, both equally likely. Object starts at and each of its steps is either to the left or down, both equally likely. Which of the following is closest to the probability that the objects meet?
Solution
If and meet, their paths connect and There are such paths, so the probability is