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Calculus and Beyond Homework Help
Rolling a Fair Die: Probability of Getting At Least One Six After Multiple Rolls
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[QUOTE="Amannequin, post: 4529672, member: 490379"] [B]Homework Statement [/B] How many times do we need to roll a fair die to get a better than evens chance of at least one six? [B]The attempt at a solution[/B] 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. [/QUOTE]
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Rolling a Fair Die: Probability of Getting At Least One Six After Multiple Rolls
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