Excel in math, science, and engineering

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Two side lengths of a triangle are randomly chosen uniformly from \((0,1).\) Then, the third side length is randomly chosen uniformly from the interval of side lengths that form ...

In a game of tennis, does having "deuce" (as compared to a simple "first to 4 points" system) help, hurt, or not affect the better player?

Assumptions:

You have a coin that comes out heads with probability \(p \in (0, 1)\). But you don't need it; you need to generate an event with probability ...

Andrea and Raleigh are each rolling a fair, six-sided die. They roll their dice simultaneously, individually keeping a sum until someone reaches 100; whoever reaches 100 first wins. (If they ...

A knight is placed at the center of an infinitely large chess board. For large \(n,\) the number of squares on which the knight can be after exactly \(n\) moves ...

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