A bag contains 5 red marbles, 7 blue marbles, and 3 green marbles. If you randomly draw 3 marbles without replacement, what is the probability that all are of different colors?

Sat, 02 May 2026 18:00:12 +0000

**Discover This Surprising Marble Probability—And Why It Matters Beyond the Bag** Ever grabbed a handful of colored marbles from a classic bag and wondered: “What’s the chance all three are different colors?” This simple question taps into a rich blend of chance, math, and pattern recognition—especially relevant as data literacy grows in the US. A bag holds 5 red, 7 blue, and 3 green marbles, and drawing 3 without replacing any creates a puzzle well-suited for mobile learners seeking clear, engaging facts. The probability that all three marbles differ in color turns a playful scenario into a standout learning moment. **Why This Problem Is Trending** Curiosity about probability and randomness fuels growing interest in data-driven thinking across platforms like Discover. This marble problem surfaces frequently in casual education, puzzle apps, and STEM content because it’s accessible—easy to visualize and calculate—yet deeply mathematical. It connects to broader trends in analytics, risk awareness, and pattern recognition essential in today’s information landscape. Discussing it builds foundational numeracy and resonates with learners seeking practical, real-world math applications.