5Question: A recycling bin contains 6 plastic bottles and 9 glass bottles. If four bottles are selected at random, what is the probability that exactly three are plastic and one is glass?

Thu, 07 May 2026 18:48:09 +0000

**Why Curious Americans Are Calculating Probabilities in Slow-Motion Trending Spaces**
The viral math question: A recycling bin holds 6 plastic bottles and 9 glass bottles. If you randomly pick four, what’s the chance exactly three are plastic and one is glass? This everyday scenario—simple on the surface—has sparked quiet curiosity among users curious about chance, everyday patterns, and data literacy. Platforms like Discover surface such questions during moments of exploratory intent, especially when people seek clear, neutral explanations that match real-life decision-making. Whether for recycling education, STEM interest, or understanding randomness, this problem blends practicality with analytical thinking in a formatted style that works for mobile discovery. **Is This Math Trending Across the US?**
The question pulls hidden momentum in conversations around climate-conscious habits, data-driven habits, and small statistical insights that influence behavior. With recycling awareness rising alongside sorted waste trends, this math sample appears in mobile searches tied to sustainability, education, and digital literacy—especially among curious millennials and Gen Z users. Its relevance grows as communities explore transparency in environmental systems, making probabilistic thinking both practical and timely on Discover.

**How This Probability Calculates—Step by Step, Smoothly Explained** Understanding the probability begins with a clear setup: a bin with 15 total bottles—6 plastic, 9 glass. Picking 4 at random, we want exactly 3 plastic and 1 glass. Here’s how math unpacks it: - Total ways to choose 4 bottles from 15: 15C4 = 1365
- Ways to pick 3 plastic from 6: 6C3 = 20
- Ways to pick 1 glass from 9: 9C1 = 9
- Multiply these: 20 × 9 = 180 favorable outcomes