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Choosing shoes

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I have two pair of black shoes in the closet, a loafer and a tied pair. I am in a hurry getting dressed and the light burns out in the closet. As these are the only shoes in the closet, I reach in and grab two. What is the probability that they match (i.e. l and r loafer, or l and r tie - wearing a tie and a loafer is a fashion faux pas)? Am I justified in making a pick in the dark, or should I have taken the time to get a new light bulb?

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Solution Summary

The solutions show two ways to arrive at the answer of choosing shoes.

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Here is the common sense answer:

You pick one shoe - doesn't matter which.
There are 5 shoes left, and only one that matches the first shoe.
Therefore, you have a chance of one out of five to pick ...

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