How many rolls to make the 6-bet favorable

EasyProbability Market Making & Betting Games~4m

You bet, at even money, that you will see at least one 6 in $n$ rolls of a fair die. What is the smallest number of rolls $n$ for which this bet is favorable (win probability strictly above 50%)?

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Win probability is $1-(5/6)^n$ ; find the smallest $n$ making it exceed 0.5.
Solve $(5/6)^n < 1/2$ : $n=3$ gives 0.42, $n=4$ gives 0.52.

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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude

How many rolls to make the 6-bet favorable

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