Markov Process of Snake And Ladders Board

Zin Mar Tun

doi:https://doi.org/10.14445/22315373/IJMTT-V67I1P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 1 | Year 2021 | Article Id. IJMTT-V67I1P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I1P507

Markov Process of Snake And Ladders Board

Zin Mar Tun

Abstract

We considered Snakes and Ladders Board as the state of Markov chain by looking at the long run behavior of transition. Necessary definitions are described in this paper. And then we derived transition matrix. Finally we presented the probability distribution of Snakes and Ladders game with figures based on the Markov chain.

Keywords

Markov chain, transition matrix, absorbing state, probability distribution, stochastic process.

References

[1] L.A. Cheteyan, S. Hengeveld, M,A,Jones, and “Chutes and Ladders for the impatient”, vol.42, No1, the mathematical association of America, The College Mathematics Journal, January (2011).
[2] M. ROSS,S., “Introduction to Probability Model”, 10td Edition, India, (2010).

Citation :

Zin Mar Tun, "Markov Process of Snake And Ladders Board," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 1, pp. 44-52, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I1P507