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If the game is fair, it is 1/3.

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Q: What is the probability of winning a car behind three doors?
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What was behind the 3 sealed doors King Tut?

Behind the three sealed doors was King Tuts tomb with toys and valuable gold.


Why is the Monty Hall paradox true?

The Monty Hall paradox is true because it is actually not a paradox, it is a case of misdirection and/or misunderstanding that probabilities do not change just because you open a door.Restating the problem:You are in a game show with Monty Hall. You have three doors to choose from. Behind one door, there is a car. Behind the other two doors, there are goats. You choose a door. Just then, Monty spices things up by opening one of the other doors, to reveal a goat. He then give you an opportunity to change your mind and pick the third door. Is it in your best interest to stay with your original choice, or to change to the third door?The answer is that you should change your mind. The odds of getting a car will double if you do that.The misunderstanding is in not realizing that the probability distribution did not change just because Monty opened that door. One could, erroneously, think that "now, we have a 50-50 chance, and it does not matter if you change your mind". Wrong.Look at the original problem. There is a 1 in 3 chance that the car is behind any of the three doors, and there is a 2 in 3 chance that the goat is behind any of the three doors.Expand your thinking a bit... There are three sets of two doors; door AB, door AC, and door BC. The probability that the car is behind one of those three sets of two doors is 2 in 3. If you do not understand that, stop, and think again. Don't go forward until you agree.Now. You picked a door. The probability that you picked the car is 1 in 3, and the probability that you picked a goat is 2 in 3. More importantly, if the probability that the car is behind your door is 1 in 3, then the probability that it is behind one of the other two doors must be 2 in 3. Again, make sure you understand this before proceeding.Now. Monty opened one of the other two doors, revealing a goat. Quick; what is the probability that the car is behind your original door? It is 1 in 3. That did not change. Since the sum of the probabilities must be 1, then there is still a probability of 2 in 3 that the car is behind one of the other two doors.But you know that one of the other two doors has a goat. Right? Your door is still 1 in 3. Therefore, the probability that the car is behind the third door is 2 in 3. Your odds of getting the car doubled from 1 in 3 to 2 in 3 by changing your mind.Comment: Those probabilities only apply when Monty deliberately reveals a goat. So, hehas to knowwhat's behind the doors.If he just opened a doorat random,then the 2 remaining doors would indeedleave you with a 50-50 choice.


How do you calculate your odds of winning at lotto if you spend 1 dollar on an entry?

Odds are expressed as a ratio of probability of winning versus probability of not winning. Consider a simple example of tossing a fair dice where you "win" if it lands on three. P(three):P(not three) = (1/6) : (5/6) = 1:5 . So your odds of winning are 5 to 1 against. Now let's imagine to win lotto you need to guess 6 numbers correctly out of 45 and each guess costs $1. Probability of winning (from 1 guess) = 1/(45 x 44 x 43 x 42 x 41 x 40) = 0.000000000171 Probability of not winning = 1-P(winning) = 0.999999999829 So the odds are 0.000000000171:0.999999999829 = 1:5,864,443,199 or just under 6 billion to 1 against!


When can you open the chocolate penguins in the Thorntons Advent Calendar?

Behind three of the doors it tells you to have a penguin.


What is the emperical probability of someone winning the pick three lottery?

Empirical probability is based on data gained through experimentation. If there is cause to believe that, for example, there is some bias in the balls of the lottery machine, looking at the outcome for a long period of time may show this. Theoretically, the probability of someone winning a pick-three lottery, where the numbers range from 000 to 999, is 1/1000 because you pick one 3-digit combination from the 1,000 available.


What Does the quote in Pokemon Ruby mean Six Dots Open Three Doors?

The "Six Dots" reference the amount of eyes on every "Regi" you find behind the "3 doors"


What is probability of NOT winning if the chances of winning is 0.008 and you try 110 times?

The chance of not winning on one attempt is 1 - 0.008 = 0.992 The chance of not winning over 110 attempts is therefore 0.992110, since you must fail every time. 0.992110 = 0.413 (to three decimal places). (It follows that 0.587 is the chance of winning on at least one attempt.)


Where is three doors down from?

Three Doors Down originated in Escatawpa, Mississippi.


What do people mean when they say what's behind door 1?

They are referring to an old game show called "Let's Make A Deal". In the game contestants would be offered a chance to have what was behind one of three doors. Then the host, Monty Hall, would unveil what was behind the doors. So it means what kind of "prize" do you get, or what have you passed up.


Where is the Air Mixture door on a 2003 Cadillac DeVille Located?

There should be three doors, located, essentially behind the ashtray assembly. There are three zones, so 3 doors, inside of a block box. The box is more than a foot long and right behind the firewall. I took out a LOT of parts from the dash to fix this one...good luck.


When you roll three number cubes what is the probability that all three numbers will match?

The probability is 1/36


What is the probability of getting three tails if you flip a coin three times?

Since the probability of getting tails is 50% or 0.5, the probability of three tails would be 0.5*0.5*0.5=0.125 or 12.5 %