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
Maybe thinking about it this way might help.
10 doors.
You pick one.
There is a 1 in 10 chance you picked the right door.
Another way to say this is there is a 9 in 10 chance the winning door is NOT your door.
Someone who knows which door has the prize opens 8 of those 9 doors.
There is still a 9 in 10 chance the winning door is NOT your door.
Your door has a 1 in 10 chance of having the prize, the other a 9 in 10 chance of having the prize.
Do you switch?
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