I have read through around 10 articles and webpages on this problem, and still don’t understand. I’ve run simulations and yes, switching does get you better odds, but why?
In: Mathematics
Ok pick a door out of 1000 doors
How confident are you that’s the door with the prize?
Not very?
Okay now I’ll open every other mf’n door except ONE, and they’re all not the prize.
So now, either the one one you picked has the prize. Or the door I left closed does.
If I were you, there’s no way I’m assuming I picked the right door out of ONE THOUSAND doors, so I’d choose the other door.
The prize has stayed in the same place but the amount of knowledge about the conditions has increased
For someone who knew nothing and walked in and saw two doors and had no explanation it’d be 50/50. But luckily, for you it’s not.
It would be as if the host farted in front of one of two oors and said if you can point to the door I farted in front of, you can have the new Nintendo VR x Sony Sparkle Pony video game console. He pretty much just gave you a hint at which door has the prize
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