I very rarely regret knowing the answer to math puzzles but have got to admit this is one of those times.https://twitter.com/badslinky/status/890838798648594433 …
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Problem is inadequately defined. Mean of 6 rolls. But 52% chance to get it within 4, so you can "expect" that? (Asymmetric distribution.)
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I am amazed that this poll is 50/50. How do I get some money down on this?
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Let N be the expected number of rolls to get a 6. Then N = 1+P(next roll is 6)⋅0+P(next roll is 1,2,3,4, or 5)⋅N N = 1+5/6⋅N 1/6⋅N=1 N=6
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