HMMT 2015 C3
- Combinatorics
- Answer
Starting with the number 0, Casey performs an infinite sequence of moves as follows: he chooses a number from at random (each with probability ) and adds it to the current number. Let be the probability that Casey ever reaches the number . Find .
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
\frac{11}{2^{20}}
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.