Puzzle of the day: 127
In a game show host asks you select 1 of the 3 doors. behind one of the doors is a car and other two are empty. In the show after you select the door hosts opens an empty door, then further asks you if you want to stick to your original choice or you want to switch. What would you do and why?
Solution one must switch to increase his probability of winning. Because initially let’s consider 3 cases You select different doors in different cases door-1 (nothing), the host opens door-2, if you switch you win door-2 (nothing), the host opens door-1, if you switch you win door-3 (car), the host opens either door 1 or 2, if you switch you lose So from above, it is clear that if you switch you win 2 out 3 cases. but if you stick to your original choice you will win only 1 out of 3 cases.
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