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 Quiz Quandary (Posted on 2003-12-26)
A teacher said that she had observed that how well a student does on a particular quiz depends on how well or poorly he or she did on the last quiz. Then she gave the following statistics:

If you did well on a quiz, there is an 80% chance you will do well on the next quiz, a 15% chance you will do so-so, and a 5% chance you will do poorly.

If you did so-so on a quiz, there is a 20% chance you will do well on the next quiz, a 60% chance you will do so-so, and a 20% chance you will do poorly.

If you did poorly on a quiz, there is a 3% chance you will do well on the next quiz, a 15% chance you will do so-so, and an 82% chance you will do poorly. The teacher then asked the following question (which she said we'd be able to answer once we had successfully completed the class):

If you did well on the first quiz, what is the probability that you will do well on the fifth quiz in the class?

 See The Solution Submitted by DJ Rating: 4.2857 (7 votes)

 Subject Author Date Solution Math Man 2018-08-26 13:16:45 re(2): Markov chains Finkle 2003-12-27 19:21:26 re: Markov chains Charlie 2003-12-27 09:32:25 Markov chains Federico Kereki 2003-12-27 01:12:39 re(2): Solution (only a common calculator used) Penny 2003-12-26 22:56:32 re: Solution (only a common calculator used) Charlie 2003-12-26 22:36:38 re: Solution (only a common calculator used) Bruno 2003-12-26 22:35:40 Solution (only a common calculator used) Penny 2003-12-26 20:58:34 re: Depends... Charlie 2003-12-26 15:02:42 Depends... Charlie 2003-12-26 14:49:56 Well well well Bruno 2003-12-26 14:19:04 i think... sarah 2003-12-26 14:18:09

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