1 1 vote Consider a frog that lives on two rocks $A$ and $B$ and moves from one rock to the other randomly. If it is at Rock $A$ at any time, irrespective of which rocks it occupied in the past, it jumps back to Rock $A$ with probability $2 / 3$ and instead jumps to Rock $B$ with probability $1 / 3$. Similarly, if it is at Rock $B$ at any time, irrespective of which rocks it occupied in the past, it jumps back to Rock $B$ with probability $2 / 3$ and instead jumps to Rock $A$ with probability $1/3$. After the first jump, it is at Rock $A$. What is the limiting probability that it is at Rock $A$ after a total of $n$ jumps as $n \rightarrow \infty?$ $1 / 2 $ $2 / 3$ $1$ The limit does not exist None of the above Probability and Statistics tifr2015 probability-and-statistics conditional-probability limits + – admin 314 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
