You are above a pit of fire and the only way out is a $1000-$ rung escape ladder. You're on the first rung.
Every second a standard die rolls. If it's $1$ or $2$ you move down one rung. Otherwise you will move up by one rung. If you move down from the first rung you will fall into the fire! If you move up from the $1000th$ rung, you escape.
What is the probability that you escape?