Re:Your iPhone just got less secure. Blame the FBI
by ustolemyname on Wednesday March 30, 2016 @03:58PM
(#11392452)
Not switching until the end should work out better than switching multiple times.
4 doors, in 8ths to simplify fractions.
2/8,2/8,2/8,2/8 => initial conditions, choose leftmost
2/8,3/8,3/8 => random bad door removed, choose a random 3/8
3/8,5/8 => remove another door.
Next choice is only 5/8, whereas if we had waited it would have been 6/8.
Another useful exercise is to stretch the number of doors to some large N and suppose the choice was posed repeatedly with a decreasing number of doors. If you can have anywhere from 2 to N guesses and as N decreases the number of bad doors decreases, it seems more obvious that you should always switch.