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Quiz Quandary (Posted on 2003-12-26) Difficulty: 3 of 5
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: 4.1667 (6 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Markov chainsFinkle2003-12-27 19:21:26
re: Markov chainsCharlie2003-12-27 09:32:25
Hints/TipsMarkov chainsFederico Kereki2003-12-27 01:12:39
re(2): Solution (only a common calculator used)Penny2003-12-26 22:56:32
re: Solution (only a common calculator used)Charlie2003-12-26 22:36:38
re: Solution (only a common calculator used)Bruno2003-12-26 22:35:40
SolutionSolution (only a common calculator used)Penny2003-12-26 20:58:34
re: Depends...Charlie2003-12-26 15:02:42
SolutionDepends...Charlie2003-12-26 14:49:56
Well well wellBruno2003-12-26 14:19:04
i think...sarah2003-12-26 14:18:09
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