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A monkey is typing a string of random letters, with all letters equally (and independently) likely to be typed.

Which word is more likely to appear first in the string ...

Consider \(3\) random chords drawn in a unit circle. (Each chord is established using the random endpoints method, i.e., the endpoints of any chord are two points chosen randomly ...

Ned is trying to play music using a steel ruler extending beyond the table edge. When he strikes the ruler, a twang sound is produced.

If he wants to produce ...

Let \(S\) be the set of non-negative integer triples \((x,y,z)\) that satisfy the equation \(x + y + z = 28\). If a triple is chosen uniformly at random from ...

Use 16 distinct positive integers to fill up the grid, such that the integers in any two connected squares have a greatest common divisor that is greater than 1.

What ...

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