2006 AMC 10A Problems/Problem 25: Difference between revisions

Revision as of 01:58, 6 July 2006

Problem

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 that vertex. Each edge has equal probability of being chosen, and all choices are independent. What is the probability that after seven moves the bug will have visited every vertex exactly once?

$\mathrm{(A) \ } \frac{1}{2187}\qquad\mathrm{(B) \ } \frac{1}{729}\qquad\mathrm{(C) \ } \frac{2}{243}\qquad\mathrm{(D) \ } \frac{1}{81}\qquad\mathrm{(E) \ } \frac{5}{243}\qquad$

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2006 AMC 10A Problems/Problem 25: Difference between revisions

Revision as of 01:58, 6 July 2006

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Revision as of 12:19, 3 July 2006 view source Ragnarok23 (talk \| contribs) 161 edits No edit summary	Revision as of 01:58, 6 July 2006 view source Ignite168 (talk \| contribs) 211 edits m 2006 AMC 10A Problem 25 moved to 2006 AMC 10A Problems/Problem 25 Newer edit →
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