You throw a fair six-sided die repeatedly and keep a running total. The moment the total exceeds $100$, you stop. What is the probability that the final throw -- the one that pushed the total past $100$ -- was a $2$?

Probability the Last Die Roll Is Two When Summing Past 100

Probability · Hard · Free problem

You throw a fair six-sided die repeatedly and keep a running total. The moment the total exceeds

00$, you stop. What is the probability that the final throw -- the one that pushed the total past

00$ -- was a