  We study the probability distribution $Q(n,t)$ of $n(t)$, the fraction of
spins unflipped till time $t$, in a Ising chain with ferromagnetic
interactions. The distribution shows a peak at $n=n_{max}$ and in general is
non-Gaussian and asymmetric in nature. However for $n>n_{max}$ it shows a
Gaussian decay. A data collapse can be obtained when $Q(n,t)/L^{\alpha}$ versus
$(n-n_{max})L^{\beta}$ is plotted with $\alpha \sim 0.45$ and $\beta \sim 0.6$.
Interestingly, $n_{max}(t)$ shows a different behaviour compared to $<n(t)> =
P(t)$, the persistence probability which follows the well-known behaviour
$P(t)\sim t^{-\theta}$. A quantitative estimate of the asymmetry and
non-Gaussian nature of $Q(n,t)$ is made by calculating its skewness and
kurtosis.
