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INTERNATIONAL JOURNAL OF CREATIVE RESEARCH THOUGHTS - IJCRT (IJCRT.ORG)
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ISSN Approved Journal No: 2320-2882 | Impact factor: 7.97 | ESTD Year: 2013
Call For Paper - Volume 12 | Issue 6 | Month- June 2024
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Paper Title
RANDOM STAIRCASE AND SNAKES AND LADDERS MODELS
Authors
Priya.P.Menon, Swaroop Georgy Zachariah, Dhannya.P.Joseph
Keywords
Random Staircase model, Upward Staircase model , Snakes and Ladders model
Abstract
The study considers the construction of two mathematical models namely Random Staircase model and Snakes and ladders model. The Random Stair case model gives the minimum number of hops required to climb a staircase with N steps if one can hop 1 step, 2 steps, �,or k steps forward or backward at a time with equal probability. This is a generalization of Gambler�s Ruin problem with fortune probability equal to �. Also a mathematical model for the Snakes and ladders game is constructed which is a special case of Upward Random Staircase model. This model can be utilized to evaluate the probability to finish the game for various movements.
IJCRT's Publication Details
Unique Identification Number - IJCRT2005492
Paper ID - 195170
Page Number(s) - 3720-3728
Pubished in - Volume 8 | Issue 5 | May 2020
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Publisher Name - IJCRT | www.ijcrt.org | ISSN : 2320-2882
E-ISSN Number - 2320-2882
Cite this article
Priya.P.Menon, Swaroop Georgy Zachariah, Dhannya.P.Joseph, "RANDOM STAIRCASE AND SNAKES AND LADDERS MODELS", International Journal of Creative Research Thoughts (IJCRT), ISSN:2320-2882, Volume.8, Issue 5, pp.3720-3728, May 2020, Available at :http://www.ijcrt.org/papers/IJCRT2005492.pdf
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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