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Now use a tool like this link (if you know how to use regular expressions) to work out for yourself. You can easily prove that the probability of moving 1 unit towards north is the same as 1 unit towards south (don't ask me how cause I'm not going to teach math here. Also don't ask me how I converted the chart to a bunch of 1s and 0s cause I'm not teaching programming either (it's so easy though))
Please stop this, we're not here to fight or argue all the time. Please stop...
If you can't measure it, you can't improve it!