Markov Process of Snake And Ladders Board

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-1
Year of Publication : 2021
Authors : Zin Mar Tun
  10.14445/22315373/IJMTT-V67I1P507

MLA

MLA Style: Zin Mar Tun  "Markov Process of Snake And Ladders Board" International Journal of Mathematics Trends and Technology 67.1 (2021):44-52. 

APA Style: Zin Mar Tun(2021). Markov Process of Snake And Ladders Board  International Journal of Mathematics Trends and Technology, 44-52.

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.

Reference

[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).

Keywords : Markov chain, transition matrix, absorbing state, probability distribution, stochastic process