POTW #17 - April 29, 2024
MCR Problem of the Week, April 29, 2024 Edition
You are playing a game in which you roll a six-sided weighted die. There is a $20\%$ chance of rolling a $1$. You play the game by rolling $4$ times, or until you roll a $1$, whichever comes first. What is the expected number of rolls before the game ends, to two decimal places?
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