00:01
So an approach that we can use for solving this problem is to think of this as almost a bunch of different positions we can be in.
00:08
We can be at a tie.
00:11
I'll refer to it as plus or minus referring to the difference between the u, your score, and the author's score, so to speak.
00:24
So we would have that we're starting at a tie, and then we can transition to plus.
00:30
1 or minus 1, and then from plus 1, we can transition either to plus 2 or back down to a tie.
00:39
We know that there is a 50 -50 chance of going to the left or to the right, effectively, at each step here.
00:49
So the way that we can think about this, then, is that one path we can take is to go from tie to plus 1 to plus 2.
00:59
Let's say that if that, well, we don't need to just say that that's the case.
01:04
If that's the case, then that means that we win...