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Class Pass (Posted on 2004-06-24) Difficulty: 4 of 5
The teacher in a certain class room allows you to pass a paper with an assignment around, and whomever it ends up on has to do it. The only two rules are you can't pass it to someone who already has had it and you can only pass it to the person to the left, right, forward, or backward.

In a room of 30 students arranged in a 6 by 5 grid, the teacher starts out with the assignment somewhere on the front row of 6 students. At some point someone is stuck holding the assignment because all his neighbors have had it and passed it on to someone else. If this happens after every student in the room has had it, what is the probablity, for each individual, that he or she turns out to be the lucky winner of the assignment?

No Solution Yet Submitted by Gamer    
Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
3x3 and 3x4 gridsJer2006-02-27 14:51:44
re(4): This is very difficultErik O.2004-11-02 21:37:58
re(3): This is very difficultGamer2004-06-28 23:07:39
re: A variationCharlie2004-06-25 11:05:03
A variationCharlie2004-06-25 09:41:07
re: Simulation with truly random numbersCharlie2004-06-25 07:25:46
Some ThoughtsSimulation with truly random numbersCharlie2004-06-25 00:44:19
re: what probability?DJ2004-06-25 00:02:04
Hints/Tipsre(2): This is very difficultErik O.2004-06-24 22:36:32
Some ThoughtsBetter randomization for simulation.Charlie2004-06-24 21:56:34
re: This is very difficultTristan2004-06-24 16:41:45
re: What's wrong with my simulation?Thalamus2004-06-24 15:49:27
Some ThoughtsWhat's wrong with my simulation?Charlie2004-06-24 15:34:06
what probability?Jer2004-06-24 14:30:38
This is very difficultErik O.2004-06-24 13:56:04
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