Riddle #98

Share This Riddle

FacebookTwitterGoogle+PinterestReddit

1k views
164 ratings
6 saves

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?

Answer: Yes, by changing your answer your chances of winning actually goes up from 1/3 to 2/3.

This becomes obvious when expanding the example. Suppose there was 100 doors rather than 3. You pick one and the host shows you that the car is not behind 98 of the doors then asks you to switch to the remaining door or keep the door you picked. Of course you would switch your door because chances are you didn't pick the correct door initially.

For more explanation go to http://en.wikipedia.org/wiki/Monty_Hall_problem#Solutions

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
Reply

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.
Reply

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
Reply

Similar Riddles

The Tide (medium)

4.1k views
10 ratings
0 saves

By Fred

Question: At low tide 14 rungs of a ship are above the water, the rungs are 15 centimeters apart. each 15 mins the water rises 15 centimeters. after 2 hours and 30 mins how many rungs are above the water?

Answer: 14

Share this:FacebookTwitterGoogle+

5.1k views
9 ratings
0 saves

By Mathew

Question: I'm 10 years old my brothers half my age now I'm 100 years old how old is my brother now?

Answer: 95 years old Because he's half my age when I was 10 so he's 5 years old so I'm only 5 years older 100-5=95

Share this:FacebookTwitterGoogle+

3.6M views
4764 ratings
19 saves

Question: When is 99 more than 100?

Answer: A microwave.Generally when you run a microwave for '99' it runs for 1 minute and 39 seconds. '100' runs for 1 minute.

Share this:FacebookTwitterGoogle+

3k views
254 ratings
16 saves

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.

Answer: Tip the glass of water until the water reaches the rim of the glass and if the water lines up perfectly with the bottom rim of the glass, it is half full.

Share this:FacebookTwitterGoogle+

2k views
236 ratings
3 saves

By Nikki5711

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)

Answer: You fill the five gallon up and pour it into the 3 gallon. The dump the 3 gallon out and pour what was left in the 5 gallon into the 3 gallon so that you have 2 gallons in the 3 gallon. Then fill the 5 gallon up and pour it into the 3 gallon to fill it up. Now you have 4 gallons in the 5 gallons.

Share this:FacebookTwitterGoogle+

© 2013-2014 Good Riddles Now. All rights reserved.

FacebookTwitterGoogle+RSS Feed