Using the earlier formulations for predicting the error in a Monte Carlo game, a few general results about Russian roulette and splitting are obtained. Furthermore, the integral equations for the variance are numerically solved to compare different biasing procedures such as exponential transform and path-length stretching in multigroup transport problems. It is also shown that the results for an infinite medium are close to the results for thick finite slabs. Use of the moments method to solve the infinite medium problem results in considerable saving of computing time.