Many smart people, including some world class mathematicians, have been fooled by this clever puzzle:
You're a guest on a game show (for readers of a certain age, think
"Let's Make a Deal!").
The host presents you with three closed doors. There's a sports car
behind one and a pair of goats behind the other two.
You choose a door and the host opens a second door, revealing a
goat (he's omniscient and always reveals a goat).
Your decision: stick with your
original door or switch to the other unopened door?
Believe it or not, you're much better off choosing one option over the other (click the "Show Solution"
link below to find out why). Try it for yourself
using the interactive simulation below. Click on a door and follow the instructions on the right.
You'll need several trials to get accurate results
or you can click one of the Auto-Run buttons, which lets your computer do the work - you
can see the results of thousands of trials in just a few minutes!