Cosmological measure with volume averaging and the vacuum energy problem

In this paper, we give a possible solution to the cosmological constant problem. It is shown hat the traditional approach, based on volume weighting of probabilities, leads to an incoherent onclusion: the probability that a randomly chosen observer measures $\Lambda=0$ is exactly equal to 1. Using an alternative, volume averaging measure, instead of volume weighting can explain why the osmological constant is non-zero.