Heads Minus Tails Distribution
A fair Coin is tossed 
times. Let 
be the absolute difference in the number ofheads and tails obtained. Then the probability distribution is given by
where
. The most probable value of 
is 
, and the expectation value is
See also Bernoulli Distribution, Coin, Coin Tossing
References
Handelsman, M. B. Solution to Problem 436, ``Distributing `Heads' Minus `Tails.''' College Math. J. 22, 444-446, 1991.
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