Suppose that 100 watermelons are being emptied from a truck at a farmer's market. Each one is weighed and put into one of three piles (small, medium, and large.) In the past years, this farm has produced about 35% small, 50% medium, and 15% large watermelons. It is desired to determine the probability that this will again be the distribution today.
This question must of been the hardest in binomial I've encountered all day. It does not tell you the success rate and so I do know what path to take in order to solve this problem.
The first thing I would do is look up "multinomia distribution", perhaps on MathWorld: Multinomial Distribution -- from Wolfram MathWorld or on WikiPedia: Multinomial distribution - Wikipedia, the free encyclopedia