This means that when the new information is revealed (the empty box being revealed) we must update our understanding of the probabilities of finding the prize in each of the two remaining boxes, not start again from scratch and think about two boxes one of which has a prize and therefore, incorrectly think that it is a 50/50 chance. In my previous posts, I have shared the questions and answers of My Brother My Brother, The Question Of Mangoes and Time To Play Online or Offline so, you can check these posts as well. This problem reveals a deep truth about probabilities that is hard to grasp, probabilities are always a reflection of the information that we have and never (until we start talking about quantum mechanics) a reflection of reality. Hi Everyone This article will share Pandora’s Box Questions & Answers. Prevent this user from interacting with your repositories and sending you notifications. Meaning that sticking to your own box you remain having a 1/3 chance of winning but by switching you double your chances to 2/3. Block or Report Block or report whats-in-the-box. The Crossword Solver found 30 answers to 'so what is in that box', 4 letters crossword clue. After your choice those probabilities remain locked in and do not change as when you made that choice that was all the information you had.Īt this point we can simplify the problems to two sets of probabilities, the box that you have chosen with a 1/3 chance of having the prize in it and the other two boxes that we now combine into one 'set' which together have a combined 2/3 chance of containing the prize.Īfter the host reveals one of the empty boxes (turning our artificial 'set' of two boxes into one real box) these probabilities remain the same. At the moment of your first choice you have a 1/3 chance of picking the box with the prize and a 2/3 chance of getting nothing.
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