If you take two balls randomly out of a jar of colored balls, there is a 50% chance that the balls will both be red.
What is the total percentage of red balls in the jar?
Let there be a ball of
conditional color, such that the
conditional colored ball gains the same color as that of the color of a ball it is paired with  or, if drawn alone or grouped with two or more other balls of different colors or only
conditional colors, it is black.
In such a jar of colored balls where the balls are either red, black or of
conditional color, where there is a 50% chance that the two balls randomly taken out of the jar will both be red, there could be five balls in the jar (two red and three black [with two of the black being of
conditional color]). The total percentage of red balls in the jar  in this case  is 40%.
[Minus the possibility of another variant to a ball of
conditional color, the smallest number of colored balls in the jar where there is a 50% chance that the two balls randomly taken out of the jar will both be red is 75% (four balls  three red and one of a nonred, non
conditional color).]

Posted by Dej Mar
on 20110913 03:24:48 