Riddle #98

Question: Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a sports car; behind all of the others is bicycles. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 2, revealing a bicycle. He then says to you, "Do you want to pick door No. 3?" Is it to your advantage to switch your choice?

Riddle Discussion

By: emiled108 on 20/3/16

Statistically, it changes nothing, odds are 1 in 3, the guy opens the door, odds become 1 in 2 for both doors, changing your pick would only matter if the host would open the doors randomly, lets take the 100 doors example: you pick 1 and the host opens 98 and asks you if you want to change, the odds now become that you picked the right door at first because else, the car would have had 98 in 99 chances to be revealed by the door opening host

By: gandalf on 29/10/13

Switching the door does matter, the key is that the host of the game show knows more information than you do.

By: Dani on 28/10/13

Its about the study of Logic, switching the door does not matter, but has a better chance, its complicated

Similar Riddles

Question: Man walks into a store and says to the shop owner: “I will spend $10 in your store if you double the amount of money I now have in my pocket.” Store owner agrees; doubles his money; he spends $10 and leaves. He repeats this at 2 more stores. When he leaves the 3rd store he has $0 dollars. How much money did he have in his pocket when he walked into the first store?

Question: There is a 5 gallon and a 3 gallon box. You also have a hose with unlimited water. How are you gonna make the 5 gallon have 4 gallons using your items? (You do not know the exact measure measurements of a gallon)

Question: When is 99 more than 100?

Question: How can you make the following true by adding a single line: .9 = 1.

Note: ≠ is not the answer.

Question: You have a glass of water that looks about half full. How can you tell, only using the glass of water itself, if the glass is half full or not?

The glass is a right cylinder.