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## Problem of the Day #2: Time taken to reach a spiderMarch 21, 2011

Posted by Sreenath in : potd , trackback

Seungln is standing two feet away from a spider. He takes a one-foot step once a second, either forwards (toward the spider) with $\frac57$ probability or backwards with $\frac27$ probability. Compute the expected value of the time it takes Seungln to reach the spider.

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