[chiantiM]

The probability of landing on each number is the same—this is the theoretical stationary distribution, which can only be approximated and never perfectly reached within a finite number of steps. If we focus on completing the traversal within a finite sequence, the probability of being at 1 or 11 is the highest, while it's lowest at 6. In other words, the average number of steps to reach 6 is higher than for other numbers; it takes about 10 something steps to hit 6 than it does to hit 1, which is more than a full lap! The world of infinity is really strange, isn't it? Human intuition is always much closer to the finite.