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A lighthouse is x miles away from the coast. Its beam makes 1 revolution per minute. How fast is the beam moving along the beach, when the point on the beach it lightens up is y miles away from the point on the beach closest to the lighthouse?
You start with $20 and keep betting $1. What is the probability that you will get broke before you win $50? What is the expected number of bets until one of these 2 events happens?
That’s my favorite geometric problem from high-school days…
You are given an isosceles triangle ABC, ∠CAB = ∠ABC = 80°. Point D belongs to the side BC, so that AB = CD. Find the measure of angle ∠DAB.
Here is a fun puzzle, created by Hot Spring World. There are 8 differences between the pictures below. Can you find them all?
Halloween is coming up, so here’s a good logic puzzle. Can you determine who’s who based on the story I give below?
At Creepy Beasties, Inc., three of the most dreaded animals, a spider, a snake, and a rat, sat in their boardroom in silence while they awaited their boss. Then, Mr. Spider broke the silence.
“Isn’t it odd that our surnames match our species, yet none of our surnames match our own?”
The snake replied, “Yeah, but does anybody give a crap?”
They sat in silence again.
100 real random numbers between 0 and 1 are written in a row. What is the expected number of local minima in the row, i.e. numbers which do not stand next to a smaller number?
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