Question: You are driving and come to a fork in the road. You need to get to New York City. The roads do not have signs, no one is there to tell you which road you need to take, and you can't turn back and take the other road if you take the wrong one the first time. You can not turn around a go a different way. If you randomly choose a road to take how will you know you are choosing the correct road before you take it? What is the chance you will take the correct road?
Answer: You will know You are choosing the correct road before you take one because you can't turn around, so that means neither road is the correct road. Their is a 0% chance you will choose the correct road. Why: if you choose the left road at random and it is the wrong road... You know the right road is the correct one, and you can't turn back and take the right road. If you choose the right road at random and it is the wrong road... You know the left road is the correct road. Since you can not turn around you must know you are always going to take the wrong road because you must get to New York City and have to keep going on whichever road you took. That gives you a 0% chance of taking the correct road given that their is no way for you to know wich road to take and you can't turn around, so the roads must connect somewhere and make a loop I order for you to be able to take the correct road, but if the two roads loop you will never get to New York City because you would end up where you started. Therefor neither of the roads is the correct road.
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.
Question: There were 2 doors. Behind the 1 door, is hell and behind the other door, is heaven but you don't know which door will take you to heaven. In front of them, there were 2 brothers, which is guarding the door. One of the brother always lie and the other one always tell the truth. Of course you don't know who is lying and who is not. You only get 1 question to ask one of them to figure out which door leads to heaven. What question you might ask? Remember you only get to ask 1 question. it means that you can't ask one question each of them. that will be 2 questions. You only ask 1 question to any of them and no more. How do you do that?
Answer: Go up to one of the guy and ask this question, " Hello, which door that your brother will point if I ask him which way is the heaven." Then take the other door. Don't enter the door that he was pointing. This question will work for both of them because if you ask this question to the truth guy, he will point the hell because he knows that his brother will point hell and if you asked to the liar, he'll still point hell because he knows that his brother will point to heaven door, so he lied. That's why you take the other door.