Pay to play with a cap
You may roll a die up to twice, you must pay $1 per roll, and you collect (in dollars) the value of your final roll. Playing optimally, what is your expected net profit? Give a decimal to two places.
Show hints (2)+
- Each roll costs $1 — fold that into the decision.
- Re-roll on 1–3, keep on 4–6.
Answer
Reveal answer →Final answer
2.75 (± 0.05)
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Asked at: Optiver, Akuna Capital