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P(n + x Heads in 2n fair flips) = C(2n, n+x)/2^(2n).

Usage

BinomCtr(x, n)

Arguments

x

deviation from n Heads; zero outside abs(x) <= n.

n

half the number of flips, >= 0.

Value

list(x, n, probability).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eq (5.3).

Examples

BinomCtr(1, 10)$probability
#> [1] 0.1601791