- Apr 28, 2006
- 4,258
- 0
- 0
Probably familiar, but here goes.
We assume a gameshow situation with a host and a contestant. There are three doors. One door holds a prize, while the other two doors contain goats. The contestant starts off by choosing one door out of the three. After he has picked, the host proceeds to open one of the doors which has a goat (Note that this action is required of the host whether or not the contestant picked the right door). The host then offers the contestant the option of switching to the other door or remaining with his initial choice.
What is the chance of the contestant winning the prize by switching doors?
By the way, I am guessing that this brain-teaser is fairly well known, so I must ask that any answers include a spoiler alert at the top of the post. Please do this for other riddles/brain-teasers as well.
We assume a gameshow situation with a host and a contestant. There are three doors. One door holds a prize, while the other two doors contain goats. The contestant starts off by choosing one door out of the three. After he has picked, the host proceeds to open one of the doors which has a goat (Note that this action is required of the host whether or not the contestant picked the right door). The host then offers the contestant the option of switching to the other door or remaining with his initial choice.
What is the chance of the contestant winning the prize by switching doors?
By the way, I am guessing that this brain-teaser is fairly well known, so I must ask that any answers include a spoiler alert at the top of the post. Please do this for other riddles/brain-teasers as well.