Geodesic
On a Problem of Random Walk in Space(1)
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 503-506

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DOI

The following theorem is well known [1, p. 66]: Suppose that, in a ballot, candidate P scores p votes and candidate Q scores q votes, where p > q. The probability that throughout the counting there are always more votes for P than for Q, equals (p-q)/(p+q). 
Elazar, R.; Gutterman, M. On a Problem of Random Walk in Space(1). Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 503-506. doi: 10.4153/CMB-1971-090-4
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     title = {On a {Problem} of {Random} {Walk} in {Space(1)}},
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