Dice game, up to three rolls
You may roll a die up to three times. After the first or second roll you may keep the current value (forfeiting later rolls) or roll again; on the third roll you must keep the value. With optimal play, what is the expected value? (to 3 decimals)
Show hints (2)+
- Work backwards from the last roll.
- Keep only values above the continuation value.
Answer
Reveal answer →Final answer
4.667 (± 0.01)
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