Suppose a particle moves along the x-axis beginning at x= 1. It moves one integer step to the left with probability 1/2,

Suppose a particle moves along the x-axis beginning at x= 1. It moves one integer step to
the left with probability 1/2, or one integer step to the right with probability 1/2
: If the particle ever arrives at x = O, it is absorbed there (takes no further steps)
What is the probability that the particle will be absorbed eventually at x= 0?
Now assume that the particle beqins at X = 7. What is the probability that the particle will be
absorbed eventually at x= 0?



Solution:
Suppose a particle moves along the x-axis beginning at x= 1. It moves one integer step to the left with probability 1/2,

Suppose a particle moves along the x-axis beginning at x= 1. It moves one integer step to the left with probability 1/2,


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