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Game show puzzle:
Suppose you're on a game show, and you're given the choice of three doors. Behind one door is a car, behind the other two doors are goats. You pick a door and the host (who knows where the car is) opens door #3 which has a goat. The host will always open a door with a goat.
He says to you, "Do you want to pick door #2?" Is it to your advantage to switch your choice of doors?
The answer is:
Yes; you should switch
I love this puzzle because people always say that it doesn't matter and you have a 50/50 chance. Truth is you have a 66% chance by switching.
======================
Candy problem
Suppose you have 3 bags of candy. They are labeled mixed (red & green), red, green. You know that ALL the bags are labeled wrong. How do you determine which bag has which flavors by only opening up one bag and taking out ONE piece of candy?
Suppose you're on a game show, and you're given the choice of three doors. Behind one door is a car, behind the other two doors are goats. You pick a door and the host (who knows where the car is) opens door #3 which has a goat. The host will always open a door with a goat.
He says to you, "Do you want to pick door #2?" Is it to your advantage to switch your choice of doors?
The answer is:
Yes; you should switch
I love this puzzle because people always say that it doesn't matter and you have a 50/50 chance. Truth is you have a 66% chance by switching.
======================
Candy problem
Suppose you have 3 bags of candy. They are labeled mixed (red & green), red, green. You know that ALL the bags are labeled wrong. How do you determine which bag has which flavors by only opening up one bag and taking out ONE piece of candy?
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