Probability Basicshard
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A frog hops among three lily pads, A, B, and C. Each second, if the frog is on A, it hops to B with probability and to C with probability . If it is on B, it hops to A with probability and to C with probability . If it is on C, it stays on C indefinitely. If the frog starts on pad A, what is the probability that it is on pad C after exactly 3 hops?
A frog hops among three lily pads, A, B, and C. Each second, if the frog is on A, it hops to B with probability and to C with probability . If it is on B, it hops to A with probability and to C with probability . If it is on C, it stays on C indefinitely. If the frog starts on pad A, what is the probability that it is on pad C after exactly 3 hops?