HMMT 2024 U27
- Guts
- Answer
A deck of 100 cards is labeled from top to bottom. The top two cards are drawn; one of them is discarded at random, and the other is inserted back at the bottom of the deck. This process is repeated until only one card remains in the deck. Compute the expected value of the label of the remaining card.
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
\frac{467}{8}
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.