Prediction of nucleation rates in first order phase transitions requires the knowledge of the barrier associated with the free energy profile W. Molecular simulations offer a direct route through W = -kT ln pa, where k is Boltzmann's constant, T is temperature, and pa is the probability distribution of the size of any nucleus. However, in practice, the extremely scarce spontaneous occurrence of large nuclei impedes the full determination of pa, and a numerical bias must be introduced, which is generally done on the size of the largest nucleus in the system, leading to the probability size distribution of the largest nucleus pl. Although pl is known to be system size dependent, unlike pa, it has extensively been used as an approximation for pa. This communication demonstrates an improved relation between pa and pl, which cures this approximation and allows an accurate calculation of free energy barriers from biased simulations.