A box contains 3 red balls, 4 blue balls, and 5 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are blue?

Sat, 18 Apr 2026 20:31:03 +0000

**Why People Are Curious About A Box Contains 3 Red, 4 Blue, and 5 Green Balls—And What This Probability Reveals** Have you ever wondered how likely it is to draw two blue balls from a box holding only red, blue, and green balls? The setup—three red, four blue, five green—might sound simple, but solving its probability unlocks a clear example of combinatorics in action. This question, centered on drawing two balls without replacement, isn’t just a math puzzle—it reflects growing public interest in logic, randomness, and data-driven thinking, especially in a culture where accuracy matters. With increasing engagement in educational platforms and interactive content, questions like this resonate as users seek confidence in understanding everyday randomness. A box contains 3 red balls, 4 blue balls, and 5 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are blue? This classic probability problem blends arithmetic precision with intuitive logic—making it both accessible and satisfying to explore. For users scrolling through mobile devices, where curiosity drives attention, such questions reflect a desire to grasp patterns behind chance events. The simplicity of the setup invites deeper exploration, especially as users connect it to finance, games of skill, or even engineering probability models. **Why This Concept Matters Now**