There are two empty bowls in a room. You have 50 white balls and 50 black balls. After you place the balls in the bowls, a random ball will be picked from a random bowl. Distribute the balls (all of them) into the bowls to maximize the chance of picking a white ball.
Put 1 white ball in one bowl and 49 white balls in other bowl.
So probability of getting white ball becomes 1/2*1 + 1/2*49/99 which is approximately 3/4.
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