What is a Monty Hall problem?

Answer 1

The Monty Hall problem is a probability puzzle based on the American television game show Let's Make a Deal. The problem is named after the show's original host, Monty Hall. The problem is as follows: a contestant is presented with three doors, behind one of which is a prize. The contestant is asked to choose one of the doors. After the contestant has chosen a door, the host (Monty Hall) opens one of the remaining doors, revealing a goat. The contestant is then asked if they would like to switch their choice to the other unopened door. The question is whether or not the contestant should switch their choice in order to have a higher chance of winning the prize.