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: Your father is a scientist who has invented a red pill which, if eaten with 1 blue pill which he has invented, will grant immortality. The night he invents it, he gives you 2 red and 2 blue pills just in case one of them is lost or substandard. He also warns you that an overdose will cause the opposite effect and kill you instead. You put the pills in your pocket and leave his lab for home. On the way home, you are abducted by aliens who blindfold you and throw you into a singularity. At this point, you remember the pills your father gave you. You take them out (you can move and have enough oxygen in space for a short time), but realize that you can't tell the red pill from the blue pill. Even if you take off your blindfold, you can't see anything due to your proximity to the black hole. Given the circumstances, how do you successfully eat 1 red and 1 blue pill and survive?
Answer: Eat half of each pill.