HMMT 2021 U28
- Guts
- Answer
Caroline starts with the number 1, and every second she flips a fair coin; if it lands heads, she adds 1 to her number, and if it lands tails she multiplies her number by 2 . Compute the expected number of seconds it takes for her number to become a multiple of 2021.
Dataset text NuminaMath olympiads. Quoted with source.
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4040
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