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Gary Fuller's Garden Oh, the Problems! Challenging

My current favorite probability problem:

One of my praying mantises has been meditating on a group of 12 different pests. He wants to eat 4 of them for dinner, and while each one is delicious by itself, he notices that the ones that are next to each other make up a horrible taste combination. They are standing in a straight line, but still... he's having one hard time deciding what to do.

How many choices does my praying mantis have for eating 4 pests so that his dinner tastes good?

If he chooses 4 of the 12 pests such that each pest has the same chance of being picked, what is the probability of having a good tasting meal?
Answer




N(50,5^2) Probability, Statistics, and Random number Generators



How to toss a coin and understand what is going on.  



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