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Rounded percent chance that n heads appear in 2n tosses of a fair coin.
0

%I #7 Jun 26 2014 19:06:46

%S 50,38,31,27,25,23,21,20,19,18,17,16,15,15,14,14,14,13,13,13,12,12,12,

%T 11,11,11,11,11,10,10,10,10,10,10,10,9,9,9,9,9,9,9,9,8,8,8,8,8,8,8,8,

%U 8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6

%N Rounded percent chance that n heads appear in 2n tosses of a fair coin.

%C a(n) is also the largest percentage that k heads will appear face up in 2n tosses of a fair coin where k = 1, 2, ..., 2n.

%F a(n) = round(100*C(2n,n)/4^n).

%t Table[Round[100*Binomial[2 n, n]/4^n], {n, 100}] (* _Wesley Ivan Hurt_, Jun 24 2014 *)

%o (PARI) for(n=1,100,print1(round((100*(2*n)!)/((n!)^2*4^n)),", "))

%K nonn

%O 1,1

%A _Derek Orr_, Jun 24 2014