Difference between revisions of "2015 AIME II Problems/Problem 5"
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Two unit squares are selected at random without replacement from an <math>n \times n</math> grid of unit squares. Find the least positive integer <math>n</math> such that the probability that the two selected unit squares are horizontally or vertically adjacent is less than <math>\frac{1}{2015}</math>. | Two unit squares are selected at random without replacement from an <math>n \times n</math> grid of unit squares. Find the least positive integer <math>n</math> such that the probability that the two selected unit squares are horizontally or vertically adjacent is less than <math>\frac{1}{2015}</math>. | ||
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| + | ==Solution== | ||
Revision as of 19:25, 26 March 2015
Problem
Two unit squares are selected at random without replacement from an 
grid of unit squares. Find the least positive integer 
such that the probability that the two selected unit squares are horizontally or vertically adjacent is less than 
.
