olymmath

HMMT November 2023 U12

  • Guts
  • Answer

A jar contains 97 marbles that are either red, green, or blue. Neil draws two marbles from the jar without replacement and notes that the probability that they would be the same color is 512\frac{5}{12}. After Neil puts his marbles back, Jerry draws two marbles from the jar with replacement. Compute the probability that the marbles that Jerry draws are the same color.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{41}{97}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmnt/2023/u12 · Tag T46ACFMR17 · Edit this page on GitHub · Keys: j next, k previous