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The grid below is made up of line segments, like the line segment in red.

 

There are a number of paths that go from A to B in the grid, where every step goes to the right or up. If we choose a line segment at random, then what is the expected number of paths that pass through it?

 Jan 8, 2023
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I'm new here so maybe I'm missing something, but I don't see any grid below, is there something wrong with your question, or am I missing something?

 Jan 8, 2023

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