3 ms·
It's known at the Montey Hall Problem[0] or another variation is The Three Prisoners Problem[1] (IMO [1] is an easier way to conceptualize the probability of di
by drewmol 7y ago
It's known at the Montey Hall Problem[0] or another variation is The Three Prisoners Problem[1] (IMO [1] is an easier way to conceptualize the probability of different outcomes).
It can be understood that the contestant choosing to switch doors has a probability of winning equivalent to that them being allowed to choose two of the three doors in the first place. By not switching they are choosing one door (1/3) but by switching (since one of the empty doors is removed) they are effectively choosing both the other two doors (2/3).
[0]https://en.m.wikipedia.org/wiki/Monty_Hall_problem https://en.m.wikipedia.org/wiki/Monty_Hall_problem
[1]https://en.m.wikipedia.org/wiki/Three_Prisoners_problem https://en.m.wikipedia.org/wiki/Three_Prisoners_problem