  In this paper we employ the continuum approximation of Dyson to determine the
asymptotic gap formation probability in the spectrum of $N\times N$ Hermitean
random matrices. The associated orthogonal polynomials has weight function,
$w(x)=e^{-u(x)},$ where $u(x)=x^{\alpha},\;\alpha>0,\;0<x<\infty.$ It is shown
that the probability that the scaled interval $(0,s)$ contains no eigenvalues
is universal for $\alpha>1/2$ and depends on $\alpha$ for $0<\alpha<1/2.$
