(September 29, 2017 at 12:12 pm)Hammy Wrote:(September 29, 2017 at 12:10 pm)Tiberius Wrote: You don't know what the unfair side % is though, and your method doesn't give you a single result at the end (i.e. "heads" or "tails") unless I've misunderstood.
Oh if we don't know what the unfair % is then I have no idea how to solve this problem unless it's some kind of trick question or something.
EDIT: Wait can't we just flip it so many times that we can find the unfair % advantage through statistics and a huge sample size?
It's not a trick question.
The problem is to get a perfect 50/50 probability you would have to flip the coin an infinite number of times to do the analysis. You don't know the unfairness % so you could flip the coin 100 time, get "heads" 60 times and "tails" 40 times, and think that it's more likely to come down "heads", but then you flip it 100 more times and it comes down "heads" 30 times and "tails" 70 times.
Increasing the sample size gets you closer to the actual value but you never touch it.