An extension of this, lifted from 538's (excellent) puzzle column. Making my brain hurt already but that's the idea.
https://fivethirtyeight.com/features/can-you-beat-the-goat-monty-hall-problem/
Riddler Classic
The Monty Hall problem is a classic case of conditional probability. In the...
Because your original choice is still 2-1 against.
It's a classic problem in probability, and I read many years ago that when it was first brought to wider attention - I think in the puzzles column of Scientific American, but could be wrong - it generated many weeks of heated debate in the...