You’ve seen the show, right? Well, maybe it’s been a while.
The Game Show ran in the 60’s and 70’s with host Monty Hall (the game show was revived with host Wayne Brady in 2009). People in the audience dressed up to get the attention of the host so they could become game contestants.
In many (most?) of the games, the contestant was presented three doors with a prize behind each. It was well known that behind one of the doors what a dud of a prize (like a live goat!). The contestant would pick one of the doors as their prize but there was a catch. The host would offer a counter-prize (such as cash) to switch their choice. Invariably, the contestant would either take the newly offered prize and/or switch their guess for the best door prize.
Well it turns out there is some solid math, probability, and psychology in this type of situation and it’s explained by AsapSCIENCE (The Monty Hall Problem – Explained):
Now you know.