Compose a fresh probability problem on every press -- coins, dice, cards, or marbles -- with the exact fraction answer and reasoning hidden behind Show answer.
This generator composes a fresh probability word problem on every press -- coin flips, dice rolls, card draws, and marbles from a bag -- each with an exact-fraction answer and the reasoning, hidden behind a Show answer button.
Every result here is drawn using crypto.getRandomValues() -- the Web Crypto API's cryptographically secure randomness -- instead of Math.random(), so it's genuinely unpredictable, not just statistically random. Learn more.
Drill probability for a class or exam, build intuition for the coin-and-dice classics, quiz a study group with the answers hidden, or draw five at once for an instant worksheet. Pairs with the Percentage Problem and Equation generators for a full math practice bench.
Generate builds each problem from small random parameters using the site's cryptographically secure randomness, then computes the exact answer -- a simplified fraction with its percentage -- and the counting behind it. Filter by problem type to practice one setup at a time.
Press the Show answer button beneath the problem -- the exact fraction appears with its percentage and the counting reasoning. Each new problem hides it again.
Four classic setups: coin-flip runs (exactly k heads, at least one head), two-dice sums and single-die events, drawing from a standard 52-card deck, and marbles from a bag -- including without-replacement double draws.
Yes -- every answer is computed as an exact simplified fraction (like 5/16), with the approximate percentage alongside for intuition.
Equation · Percentage Problem · Math Operation · Number Sequence