Consider a maze of 6 cells as shown below. At time 0, a rat is placed in cell one and food in cell 6. The rat stays in one cell for unit of time and then chooses one of the doors in the cell at random...

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Consider a maze of 6 cells as shown below. At time 0, a rat is placed in cell one and food in cell 6. The rat stays in one cell for unit of time and then chooses one of the doors in the cell at random and moves to an adjacent cell. The rat has equal probabilities to move to each of the adjacent cells and will stay in cell 6 with food once it reaches it. Until then its successive moves are independent and completely uninfluenced by the food.
Answered Same DayMar 31, 2021

Answer To: Consider a maze of 6 cells as shown below. At time 0, a rat is placed in cell one and food in cell...

Monali answered on Mar 31 2021
141 Votes
Markov's chain
    Based on Absorbing state Markov's chain                                             Assumptions;
        1    2    3    4    5    6    Food
Cell no        Prob    0.1666666667    Since probabilities are indendent
    1    0.1666666667    0.1666666667    0.1666666667    0.1666666667    0.1666666667    0.1666666667    1                Food Cell no is unit of cell used for transition matrix....
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