Quote:
Originally Posted by Wise Gamble
Lets say you had a perfect coin and you flipped it 1 million times. After 1 million flips it would likely be approximately 50% Heads and approximately 50% Tails and it would always stay within 1% of that no matter how many more times you flipped it. Now, if you were to glue together a Dime and a Penny and you flipped it 1 million times you would have an accurate answer as to how likely it is to land Penny side up versus Dime side up. My question is, what is the MINIMUM number of flips you could give it without the percentage ever changing again more than 3% either way?
I have no idea what the answer is by the way.
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This is just a Bernoulli probability, isn't it?
P(k) = nCk * p^k * (1-p)^(n-k) = 3%
where p = probability of Penny side up, which you can't really determine without knowing how the penny/dime is weighted.
Solve for k
i think ???
(I just googled up, apparently a dime and penny both weigh 2.5g. But I guess you were asking for a weighted example.)