The problem statement, all variables and given/known data 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.