Three rolls, keep the last
Roll a die. You may keep its value or re-roll, up to 3 rolls total, and you keep whatever the final roll shows when you stop. Playing optimally, what is the expected payout? Give a decimal to two places.
Show hints (2)+
- Work backwards from the last roll.
- Keep a roll only if it beats the value of continuing.
Answer
Reveal answer →Final answer
4.67 (± 0.03)
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Asked at: Jane Street, Optiver