Many years ago in the far off land of Chanzania, a prisoner was to be executed.

Question

Many years ago in the far off land of Chanzania, a prisoner was to be executed. The king of Chanzania was a sporting fellow who thought highly of good thinkers. The king offered the prisoner a chance for freedom. He was given 100 black balls and 100 white balls, and was told to distribute them any way he liked. He was then blindfolded and told to draw a ball at random from one of the urns. If he drew a black ball he would be executed. If he drew a white ball, he would have his freedom. ( The urns were rearranged.) The prisoner was smart so he was set free. How would you have distributed the ba;;s in the three urns?

Explanation / Answer

here we need to maximise our chance of getting the white balls

the highest probability can be achieved in only one way

we need to arrange the balls in 3 urns

so we will keep 1 white ball each in two urnd and all other 198 balls in the urn three

that is

x1 = 1white

x2 = 1 white

x3 = 98 white and 100 black

probability of getting the white ball = 1/3*1 +1/3*1 + 1/3*(98/198) = 0.83 approx

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