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Consider a particle on a random walk (with p = 1/2) on the integers in the range 0, 1, . . . , 1000000 where
Consider a particle on a random walk (with p = 1/2) on the integers in the range 0, 1, . . . , 1000000 where both end-points are absorbing. The walk starts at 9:0 : 500000. Which one of the following statements best describes the situation? 0 It is impossible that the particle is never absorbed and the probability it is never absorbed equals zero. 0 It is possible that the particle is never absorbed and the probability it is never absorbed is greater than zero but smaller than all positive numbers. 0 It is possible that the particle is never absorbed and the probability it is never absorbed equals zero. 0 It is possible that the particle is never absorbed and the probability it is never absorbed is positive
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