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## Question

Let’s say you have a broomstick, 5 ft. long. You cut the stick randomly, anywhere, one time, into two pieces. The question is, what is the probability that you will get 1 piece which is at least 3 feet long?

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Imagine the broom is a line graph from 0 - 5. Cutting anywhere between between 0 and 2 and anywhere between 3 and 5 will leave one stick at least three feet.

((2-0)+(5-3))/5 = 4/5 or 80% chance that one stick will be at least 3 ft. long.

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I'm sure if you do this in reality with real people the probabily becomes a lot less than that!

We have a tendency to cut close to the middle.... And thus increase the chances of less than 3 feet.....

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Let’s say you have a broomstick, 5 ft. long. You cut the stick randomly, anywhere, one time, into two pieces. The question is, what is the probability that you will get 1 piece which is at least 3 feet long?

only a cut between the 2nd and 3rd foot would result in two pieces, both of which are not 3 ft in length. So I would say a 4/5 chance or 80% that one of the pieces will be at least 3 ft long

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What if you cut the stick from the top and split the stick in half long ways?

I am no math genius I'm just looking at some details.

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4/5

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