Question: 3. A particle in a random walk can make any of the following movements per time interval with probability 1 / 5: (i) 2 units

3. A particle in a random walk can make any of the following movements per time interval with probability 1 / 5: (i) 2 units in the positive y direction , (ii)1 unit in the negative y direction , (iii) 3 units in the positive y direction, (iv) 1 unit in the negative x direction, (v) 1 unit in the positive x direction. What is the probability of the particle being at the point (3,4) at the end of 8 time intervals

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