Problem of the Week 1029

Toy Surprise

Suppose a round marble of radius 1 inch is randomly situated in some cake batter that is placed into a pan and baked into a cake of radius 14 inches. If the cake is cut into 12 congruent pieces via six cuts along diameters, what is the probability that one of the cuts strikes the marble?

© Copyright 2005 Stan Wagon. Reproduced with permission.