This is part of a free course in Undergraduate Probability: https://www.math.uci.edu/~rvershyn/teaching/ugp/ugp.html
0:00 Paradoxes occur in science
0:38 Monty Hall problem stated
1:50 Intuition suggests that switching is not beneficial
2:30 Making assumptions on the host's behavior
4:31 Computing the probability to win if we switch; use Bayes formula
8:24 Computing the probability to win if we do not switch
9:16 You should switch
10:08 An intuitive explanation of the paradox
11:16 Monty Hall problem is equivalent to Three Prisoners Problem