  We obtained the probabilities for the values of the M\"obius function for
arbitrary numbers and found that the asymptotic densities of the squarefree
integers among the odd and even numbers are $8/\pi^2$ and $4/\pi^2$,
respectively. It is determined that statistics of successive outcomes of the
M\"obius function for very large squarefree odd and even numbers behaves
similar to statistics of heads and tails of two flipping coins. These
preliminary results are giving arguments supporting the Riemann Hypothesis. Its
plausibility is based on statistical phenomena for integers.
