You Need A Smart Strategy To Solve This Math Olympiad Game

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 video:
https://wp.me/p6aMk-5qO

Source: this was a problem in a book of Olympiad style questions.
https://math.stackexchange.com/questions/179534/the-expected-payoff-of-a-dice-game

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Видео You Need A Smart Strategy To Solve This Math Olympiad Game канала MindYourDecisions