Aparticle moves among n+1
vertices that are situated on a circle in the following manner. at e...
Mathematics, 23.11.2019 04:31 johnsonwhitney2
Aparticle moves among n+1
vertices that are situated on a circle in the following manner. at each step it moves one step either in the clockwise direction with probability p or the counterclockwise direction with probability q=1−p. starting at a specified state, call it state 0, let t be the time of the first return to state 0. find the probability that all states have been visited by time t.
hint: condition on the initial transition and then use results from the gambler's ruin problem.
Answers: 2
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