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Tossing a coin is the most elementary Monte Carlo experiment. In a computerthe coin is replaced by a pseudo random number generator. It can be shownanalytically and by exact enumerations that popular random number generatorsare not capable of imitating a fair coin: pseudo random coins show more headsthan tails. This bias explains the empirically observed failure of some randomnumber generators in random walk experiments. It can be traced down to thespecial role of the value zero in the algebra of finite fields.Comment: 10 pages, 12 figure

Pseudo Random Coins Show More Heads Than Tails