Mathematics, 10.09.2019 19:20 naajaae328
Suppose you are in a game show and there are 10 doors in front of you. you know that there is a prize behind one of them, and nothing behind the other 9. you have to choose a door containing the prize in order to win the prize. however, before you choose, the game show host promises that rather than immediately opening the door of your choice to reveal its contents, he will open one of the other 9 doors to reveal that it is an empty door. he will then give you the option to change your choice. you may assume that the host is completely impartial – not malicious in any way. for instance, if you choose door 3, he will open one door, say door 5, to reveal that it is empty. should you continue with door 3 or choose another door? compute the probability of finding the prize behind your chosen door before the game show host reveals that one door is empty, and the probability of you finding the prize by changing to a different door after seeing the revealed empty door.
Answers: 2
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Suppose you are in a game show and there are 10 doors in front of you. you know that there is a priz...
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