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**Homework Statement**

How many times do we need to roll a fair die to get a better than evens chance of at least one six?

**The attempt at a solution**

Let n be the number of rolls. Am I trying to find how large n must be so P(At least one six)≥ 1/2?

I'm working on the basis that I need to solve the probability of the union of events Ai, where Ai denotes the event of rolling i sixes, i =1,2,3...., being greater than 1/2.

Any help or nudge in the right direction will be appreciated.