  The worst violation of Bell's inequality for $n$ qbits is of size
$2^{\frac{n-1}{2}}$ and it is obtained by a specific operator acting on a
specific state. We show, to the contrary, that for a vast majority of Bell
operators the worst violation is bounded by $O((n\log n)^{{1/2}})$, below
experimental detection. With respect to the extremal operators, introduced by
Werner and Wolf [Phys. Rev. A 64, 032112 (2001)], we show that a large majority
of them have a norm bounded by $O(n^{{1/2}})$.
