We analytically derive the outage probability (OP) estimation of a ground-to-satellite pre-amplified free-space optical (FSO) link. Our derivations analysis, for the first time, takes into account all the probabilistic impairments, i.e., atmospheric turbulence, beam wander and pointing errors (PEs). Novel, analytical closed-form expressions are extracted for the probability density function (PDF) and the cumulative distribution function (CDF) of the optical signal-to-noise ratio (OSNR) at the receiver pre-amplifier output. Furthermore, we conduct the asymptotic outage analysis in the high-OSNR regime, which provides insightful results for the uplink amplified FSO systems. Numerical OP results are presented for the case of a ground FSO link to a Geostationary Earth orbit (GEO) satellite under various turbulence conditions and misalignment scenarios. Finally, the whole outage analysis is verified by Monte Carlo simulations.