  The surface exponents, the scaling behavior and the bulk porosity of a
generalized ballistic deposition (GBD) model are studied. In nature, there
exist particles with varying degrees of stickiness ranging from completely
non-sticky to fully sticky. Such particles may adhere to any one of the
successively encountered surfaces, depending on a sticking probability %should
have the possibility of sticking to any of the %allowed points of contact on
the surface with a sticking probability that is governed by the underlying
stochastic mechanism. The microscopic configurations possible in this model are
much larger than those allowed in existing models of ballistic deposition and
competitive growth models that seek to mix ballistic and random deposition
processes. In this article, we find the scaling exponents for surface width and
porosity for the proposed GBD model. In terms of scaled width $\widetilde{W}$
and scaled time $\tilde{t}$, the numerical data collapse on to a single curve,
demonstrating successful scaling with sticking probability p and system size L.
Similar scaling behavior is also found for the porosity.
