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interesting math question...
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<blockquote data-quote="leonsv" data-source="post: 2637979" data-attributes="member: 570127"><p>ok so my friend's kid comes to me with this math question that he got from school. I got an answer but want some one to check it.</p><p></p><p>"A bug starts at one vertex of a cube and moves along the edges of the cube according to the following rule. At each vertex the bug will choose to travel along one of the three edges emanating from the vertex. Each edge has equal probablility of being chosen, and all choices are independent. what is the probability that after seven moves the bug will have visited every vertex once?"</p><p></p><p>after some work that i really don't feel like typing (a lot of capital letters, fractions, and exponents) i got that the probability was 2/243</p><p></p><p>can some one check this?</p><p></p><p>thanks</p></blockquote><p></p>
[QUOTE="leonsv, post: 2637979, member: 570127"] ok so my friend's kid comes to me with this math question that he got from school. I got an answer but want some one to check it. "A bug starts at one vertex of a cube and moves along the edges of the cube according to the following rule. At each vertex the bug will choose to travel along one of the three edges emanating from the vertex. Each edge has equal probablility of being chosen, and all choices are independent. what is the probability that after seven moves the bug will have visited every vertex once?" after some work that i really don't feel like typing (a lot of capital letters, fractions, and exponents) i got that the probability was 2/243 can some one check this? thanks [/QUOTE]
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interesting math question...
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