Paid the last roll before you stop
You roll a fair die repeatedly, stopping the first time a value other than appears, and you are paid the amount showing on that final roll. What is the fair value of this game?
Show hints (2)+
- The paying roll is always in . Are those five outcomes equally likely to be the stopper?
- Yes - condition on “not a ”; the payout is the mean of .
Answer
Reveal answer →Final answer
4
Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.