Maybe I didn't phrase the question correctly, but to clarify, "a simulated coin toss" means you want a single result that has an equal chance or being heads as it does tails.
Trying to adjust based on unknown probability won't really get you anywhere. This isn't about generating multiple flips where you get an equal amount of heads as you do tails. Even perfectly fair coins don't do that unless you flip them forever. The idea is that with no prior knowledge, you should be able to generate a single simulated coin flip that could be either heads or tails with equal probability.
Trying to adjust based on unknown probability won't really get you anywhere. This isn't about generating multiple flips where you get an equal amount of heads as you do tails. Even perfectly fair coins don't do that unless you flip them forever. The idea is that with no prior knowledge, you should be able to generate a single simulated coin flip that could be either heads or tails with equal probability.
