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Everyone now knows, or thinks they know, the answer but a realistic look at the problem demonstrates that the standard mathematician’s answer is wrong. ‘Tell me tomorrow morning.’Likewise, if Monty opens the door with the car behind it, why would he then give you the option to switch?And stating real problems unambiguously may involve making assumptions that are approximations, implausible or simply guesswork, so you have not necessarily solved the real problem at all.There are various ways to solve the Monty Hall problem mathematically. Rumor of this reached prisoner A. The Monty Hall Problem is a puzzle that seems to contradict common sense.

In those rules, you would have a 0% chance of winning by switching. What if there is an upper or lower bound is specified, for example, up to 3 cars, or at least 3 cars are behind the doors.It is important to note the following conditions are always met:Here are a few ideas for altering the game, which may alter the contestant’s best decision.

The Monty Hall problem (or three-door problem) is a famous example of a "cognitive illusion," often used to demonstrate people's resistance and deficiency in dealing with uncertainty. But any pair of doors has a two-thirds probability of hiding the prize. I just don't get why it would make real - world sense for you to switch doors.Holy shit. There will always be no prize. r/explainlikeimfive. r/explainlikeimfive: **Explain Like I'm Five is the best forum and archive on the internet for layperson-friendly explanations.


They go on to explain that one of the people in the crowd is their agent, and has a bomb that will blow up the city.

Just last week, Priceonomics brought it back again, in a post titled "The Time Everyone 'Corrected' the World’s Smartest Woman.". The answer was either 91 or 37. There is, though, another source that might help.The prisoner scenario is completely different because there is no element of switching. Press question mark to learn the rest of the keyboard shortcuts . In fact, it is not clear that this problem can be appropriately addressed using the standard tools of probability theory and this raises questions about what we think probabilities are and the way we teach them.So why, if it is essentially the same problem, did this problem not appear on the front page of the New York Times?Interestingly, this problem appeared in an article devoted to the ambiguities that can arise if problems are not unambiguously specified. You see there is a 33% chance of picking a car and a 66% chance of picking a goat upon your first choice, that is undeniable. If Monty is trying to minimize his losses (such as if this game was being played in a Casino), we can imagine that being offered to switch would be associated with having the winning first choice.
It's important that the host has to follow a specific set of rules, and it's that set of rules that makes the probability 2/3The easiest way to think about it is use 100 doors instead of 3. Don't Panic! The Monty Hall Problem. The Monty Hall problem is one of the greatest brain teasers of all time. Most recently he has been a freelance business advisor. If you stay with your first choice then obviously you needed to have picked a car to win which is 33%.

It shouldn't, in my eyes, stay in the probability. 0. Gardner and Selvin had already appreciated the importance of stating problems so that the assumptions about the probabilities are unambiguous but we seem to have forgotten that in the Monty Hall problem. There's a two-thirds chance that they aren't the same door, i.e., that you didn't pick the prize door. If you didn't know the host was going to reveal the goat, it would be the same as the monty hall problem. The Monty Hall problem is one of the most frustrating brainteasers in all of mathematics. The odds that you picked the right door are 1 in 3, and the odds that you didn't are 2 in 3, right?This is the best answer by far.

7. [x] [-] [-] = Host opens door #2. [x] [-] [-] = Host opens door #3.