Consider the following example:
1) The starting point is A
2)The probability to go from A to B is 3/5
3)The probability to go from A to C is 1/5
4)The probability to stay at A is 1/5
5)If you are at B you can never return to A
6)There is no direct way from B to C
7) There is an infinite number attempts to reach C
What is the probability of ever reaching point C?
i would suggest its 4/15, what do you think?