Probabilities of landing on parallel lines, with natural coefficients of inclination (Q1077822)
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scientific article; zbMATH DE number 3958385
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Probabilities of landing on parallel lines, with natural coefficients of inclination |
scientific article; zbMATH DE number 3958385 |
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Probabilities of landing on parallel lines, with natural coefficients of inclination (English)
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1985
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The author considers binomial random walks in a plane from the origin of a Cartesian coordinate system to points with nonnegative integer coordinates. The formulae are derived for hit probabilities on parallel straight lines determined by the equations \(y=kx+b_ 1\), \(y=k(x-b_ 2)\), \(y=k(x-b_ 2)-1,...\), \(y=k(x-b_ 2)-k+1\), where k, \(b_ 1\), and \(kb_ 2\) are natural numbers.
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binomial random walks in a plane
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hit probabilities on parallel straight lines
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