In this paper we revisit the problem of deriving the expected number of transmissions for multicasting random linear coded (RLC) packets on single-hop wireless channels. We show by deriving the closed form expression for an instance of the problem that previous analytical formulation does not accurately model the true expected number of transmissions, especially for smaller finite field size. Our understanding is that similar to the wireless multi-hop network, the problem of deriving an exact closed form expression for the expected number of transmissions for a single-hop RLC wireless network is a complex open problem. As it is unknown whether a scalable closed form expression for the problem exists, we then propose a computationally efficient Monte Carlo method to derive a good approximation of the expected number of transmissions.