Unfair Coin Flip

[Tiberius]

How would the percentage change in a relevant way if the ratio is the same?

Because the two larger percentages, when combined, will result in a large value. Likewise, the two smaller percentages, when combined, will result in a smaller value. The smaller combined with the larger, when combined, produce a middle value, and because you can combine them in two different ways to get the same result, you can use that to determine the result of the simulated flip.

It seems more to me like a math problem with the heads and tails thing only used to make it more palatable to the layman. As grouping together multiple flips and calling that 'simulating a flip' seems like cheating to me. Cheating insofar as it's equivocating and what I meant by the trick question thing.

I am very impressed by the math. Not impressed by the redefinition. I can't math well anyhow.

EDIT: Wait how is disregarding HH and TT results allowed?

lol

It is a math problem but the original problem involved flipping an unfair coin. My words were "simulate a fair coin flip", not just "simulating a flip". I then went on to clarify that: By "fair" I mean that you should get a "heads" result exactly 50% of the time, and a "tails" result exactly 50% of the time.

So I don't see how the fuck it is a trick question. There's no redefinition. You're not actually performing a single coin flip with a fair coin, you are simulating one by flipping an unfair coin twice (or more).

"simulation" - the imitative representation of the functioning of one system or process by means of the functioning of another.

Also, disregarding HH and TT results is allowed because why wouldn't it be? The goal is to get the results of a fair coin flip using an unfair coin. You do that by eliminating flip combinations that occur too often or not enough, and only look at the ones which occur equally likely (TH and HT).