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
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