A bag contains 5 red balls, 7 blue balls, and 8 green balls. If two balls are drawn at random without replacement, what is the probability that both are green?

Mon, 20 Apr 2026 03:07:36 +0000

**The quiet math behind a simple bag of colored balls** Curious about luck, chance, or how probability shapes everyday decisions? A seemingly simple bag containing 5 red balls, 7 blue balls, and 8 green balls offers a clear experiment—draw two balls without replacement, and discover the chance both are green. This classic problem draws increasing interest, not just among students but also as part of broader conversations about randomness, risk, and data literacy. As digital trends spotlight tangible examples of probability, this scenario helps illustrate how math influences decisions—from investing patterns to game design and even algorithm-based predictions. Understanding the odds behind such a setup builds foundational statistical intuition, making it a recurring topic across mobile-first learning platforms. This ball composition adds precision: a total of 20 balls, with green balls making up 40% of the bag. That ratio quietly shapes the probability—where 8 greens in 20 create a measurable chance. Drawing two green balls without replacement isn’t just a textbook problem; it’s a practical illustration of conditional probability: each draw changes the pool, making the second draw dependent on the first. For mobile readers seeking clarity, breaking this down demystifies complex math and supports deeper curiosity about randomness in daily life. ### Understanding the Probability Step by Step