The Monty Hall Math Paradox
Three doors, a prize behind only one door (say, a new car). Other two doors are each hiding a goat.
Contestant has to pick a door – and hope that she wins the car. At just this stage, the chance of her winning the car is 1/3 – that part if simple.
Now, add a twist.
After the contestant has picked her door (but not opened it), the game host (Monty Hall), OPENS another door – to reveal a goat. He ALWAYS reveals a goat when he opens his door.
Now, he re-asks the contestant – Would you like to stay with your original door – or change to pick the other unopened door.
You may think , it doesn’t matter what the contestant picks at this point. But you would be wrong.
The contestant is ALWAYS better off switching her answer!!
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