2009 Indonesia MO Problems/Problem 5: Difference between revisions
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In a drawer, there are at most <math> 2009</math> balls, some of them are white, the rest are blue, which are randomly distributed. If two balls were taken at the same time, then the probability that the balls are both blue or both white is <math> \frac12</math>. Determine the maximum amount of white balls in the drawer, such that the probability statement is true? | |||
== Solutions == | == Solutions == | ||
Latest revision as of 21:27, 13 August 2024
In a drawer, there are at most 
balls, some of them are white, the rest are blue, which are randomly distributed. If two balls were taken at the same time, then the probability that the balls are both blue or both white is 
. Determine the maximum amount of white balls in the drawer, such that the probability statement is true?
