# Expected number of steps for reaching $K$ in a random walk

Assuming steps are $+1/-1$ with a $50/50$ probability. What is the expected step count for reaching $10, 100$ or $K$?

-
Answer: +Infinity. –  Did Feb 17 '13 at 20:26
But even though it takes infinite time on average, it still happens sooner or later with probability 1. –  Henning Makholm Feb 17 '13 at 20:50
Why not answer in the answers with a proof or a link to a proof? –  ubershmekel Feb 18 '13 at 12:59
Because you do not play along the rules of the site. –  Did Feb 27 '13 at 8:08