(September 29, 2017 at 12:10 pm)pocaracas Wrote:(September 29, 2017 at 12:04 pm)Tiberius Wrote: Haha, points for thinking outside the box. Let's add the additional constraint that you can only use the coin and the action of flipping the coin to get a result.
Interesting problem, indeed...
Define flipping the coin... throwing it in the air, spinning, and catching it with another hand? or letting it fall to the ground (where the unfairness would be much more noticeable)?... I see a checkered floor is out of the question.
Can we throw it more than once for each result?
Let's make it simple and say you have a machine which perfectly flips a coin with a degree of randomness and catches it perfectly, eliminating any unfairness based on the flipping action and the catch. So the unfairness is all within the coin and how it rotates in the air.
Yes you can flip it more than once for each result.