**Problem:**Waldo rolls one standard (fair) 6-sided die repeatedly, keeping a running total of what he rolls. To three decimal places, what's the probability that he eventually reaches a total of exactly 1,000,000?

**Hint:**If you use your intuition the answer is a single division.

**Bonus:**Rigorously prove that what you did is correct.

HI Chris , so whats the answer to this ? i dont think i was able to get near anything

ReplyDeleteHi Mohit, it's 1/3.5, which is just 1/(expected value of a single roll). I have some more details in another blog entry:

ReplyDeleteA Dicey Problem: Solution