Try Everything: the Monty Hall Problem and the Bayes’ Theorem

You have a job but you don’t quite like it. Will you stay in your current position forever or will you explore? It is a hard question, for the cost to switch jobs, and the uncertainty of new positions. Life is short and math has told us how to decide!

There is a classic Monty Hall problem. Suppose there are three closed doors in front of you and there is a…