A King decides to give a prisoner a chance of being set free. The king places two boxes, 15 white, and 15 black balls on the table. The prisoner can distribute the balls between two boxes in any way with the only constraint that no box is empty. After this, the king picks one of the boxes with probability 1/2 each, and picks a random ball from that box (each ball is picked with equal probability). If the ball happens to be white, then the prisoner is freed. Distribute the balls between the two boxes to maximize
prisoner's chances.
Mathbot Says...
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