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2012 UNCO Math Contest II Problems/Problem 8

Revision as of 03:22, 17 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == An ordinary fair die is tossed repeatedly until the face with six dots appears on top. On average, what is the sum of the numbers that appear on top before the six...")
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Problem

An ordinary fair die is tossed repeatedly until the face with six dots appears on top. On average, what is the sum of the numbers that appear on top before the six? For example, if the numbers $3, 5, 2, 2, 6$ are the numbers that appear, then the sum of the numbers before the six appears is $3+5+2+2=12$. Do not include the $6$ in the sum.


Solution

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