17. Bertrand's Ballot Problem (1887)

  1. Prakash Gorroochurn

Published Online: 7 MAY 2012

DOI: 10.1002/9781118314340.ch17

Classic Problems of Probability

Classic Problems of Probability

How to Cite

Gorroochurn, P. (2012) Bertrand's Ballot Problem (1887), in Classic Problems of Probability, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118314340.ch17

Author Information

  1. Department of Biostatistics, Columbia University, New York, NY, USA

Publication History

  1. Published Online: 7 MAY 2012
  2. Published Print: 8 JUN 2012

ISBN Information

Print ISBN: 9781118063255

Online ISBN: 9781118314340



  • Bertrand's Ballot Problem (1887);
  • mathematical induction, probability of M ahead throughout;
  • using reflection principle, in solving Bertrand's Ballot Problem;
  • The Ballot Theorem, or the Bertrand–Whitworth Ballot Theorem


This chapter contains sections titled:

  • Discussion