Question: 1.23 Ali Baba is caught by the sultan while stealing his daughter. The sultan is being gentle with him and he offers Ali Baba a

1.23 Ali Baba is caught by the sultan while stealing his daughter. The sultan is being gentle with him and he offers Ali Baba a chance to regain his liberty.

There are two urns and m white balls and n black balls. Ali Baba has to put the balls in the two urns; however, he likes the only condition that no urn is empty. After that, the sultan will chose an urn at random, and then pick a ball from that urn. If the chosen ball is white Ali Baba is free to go, otherwise Ali Baba’s head will be at the same level as his legs.

How should Ali Baba divide the balls to maximize his chance of survival?

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