There are three kinds of actuaries: those who can count, and those who can't.
Piet Souris wrote:
The question is: should you switch or not?
There are three kinds of actuaries: those who can count, and those who can't.
The quizzmaster, knowing which door has this price,
then opens a door of which he knows that there is no prize.
Piet Souris wrote:
How does it go now then? Does it now start with an open door, then you make a choice and THEN you can switch if you like?
Paul Clapham wrote:The additional information is just what you said:
The quizzmaster, knowing which door has this price,
then opens a door of which he knows that there is no prize.
Piet Souris wrote:The problem was presented in a national newspaper about 15 years ago. And believe
it or not, it then led to an enormous discussion that went on for about two weeks,
after which the newspaper put an end to this.
Henry Wong wrote:
And it is the knowledge of which door has the prize that doesn't change the odds. Meaning... You pick one of the doors, hence, you have 1/3 chance of being correct and 2/3 chance of being wrong. The quiz master can open a door that don't has the prize, regardless of whether you are right or wrong. This means that you still have a 1/3 chance of being correct and 2/3 chance of being wrong... so, if you switch, you now have a 2/3 chance of being correct and a 1/3 chance of being wrong.
Henry
Bill Clar wrote:Two choices. Shouldn't I have a 1/2 chance of guessing correctly?