Question

Deriving fair coin flips from biased coins: From coins with uneven heads/tails probabilities construct an experiment for which there are two disjoint events, with equal probabilities, that we call "heads" and "tails".

a. given c1 and c2, where c1 lands heads up with probability 2/3 and c2 lands heads up with probability 1/4, construct a "fair coin flip" experiment.

b. given one coin with unknown probability p of landing heads up, where 0 < p < 1, construct a "fair coin flip" experiment. Note: the sample space may contain outcomes that are not a member of either event; if such an outcome occurs, we ignore the result and perform a new trial.

c. in your solution to the previous part, what is the chance that a single trial results in an outcome of either heads or tails?

Answer 1

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