The Monty Hall problem is a well known brain teaser. Here is a variant.
You're on a game show, and you're given the choice of three boxes. Two boxes each contain $1000; the third contains $4000.
You pick one box and the host picks another. The host removes this box, which contains $1000, and adds $1000 to your box. He then offers you the choice to switch to the remaining box.
Do you switch, or stick with your original box?
I love this problem and will definitely be using with my Statistics class.
I decided not to post my solution to see how others will solve it first.
In the original Monty Hall problem, the best strategy is to always switch. This variant gives you a bit of incentive to stay by adding an extra $1000 to your chosen box but not the one you could switch to.
The question is whether this is enough incentive.
Posted by Jer
on 2015-06-17 09:21:28