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The winners are:

Science 54
H. Dorsch (Germany)

Arts 19
M. Schilli (Germany)

40.

Mathematics and Probability 

Start with two containers, labeled A and B, and a bucket load of chips numbered uniquely from one to one hundred. In container A, place one hundred balls, each labeled uniquely with numbers from one to one hundred. Container B starts out empty. Pick a chip at random from the bucket and read its number N. Move the ball numbered N from the container it is in to the other container. Replace the chip and repeat the process, each time picking a random chip.

What will happen over a long run of time?

1.

The balls will never all return to container A.

2.

Containers A and B will end up with the same number of balls.

3.

All the balls will return to container A.

Author: Joseph Mazur

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