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You roll a dice up to 3 times, stopping after any roll you wish. You get paid the value of the roll you stop. If you play optimally, what is your expected payout? (more precise wording in video) My...</span>\n<span class='full-description hide'>Thanks to James M. for this suggestion! You roll a dice up to 3 times, stopping after any roll you wish. You get paid the value of the roll you stop. If you play optimally, what is your expected payout? (more precise wording in video) My blog post for this <a href='https://wp.me/p6aMk-5qO' target='_blank' rel='nofollow'>video</a> Source: this was a problem in a book of Olympiad style <a href='https://math.stackexchange.com/questions/179534/the-expected-payoff-of-a-dice-game' target='_blank' rel='nofollow'>questions.</a> Thanks to all patrons! Special thanks to: Shrihari Puranik Kyle If you like my videos, you can support me at <a href='https://www.patreon.com/mindyourdecisions' target='_blank' rel='nofollow'>Patreon</a> Connect on social media. 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