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Drawing without replacement rehearsel

 
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Just read a nice one on the internet.

An urn contains colored balls, each color having the same number of balls.
If we add 20 balls of a new color, the chance of drawing two balls of the same color is unchanged. Drawing without replacement that is.

How many balls does the urn contain?
 
Piet Souris
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Gosh, thousands of reactions, unbelievable. I'll contact you all personally, but as you will understand, gonna take me months!    
 
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