---Question: A soil scientist is analyzing soil samples from 12 different agricultural plots, each treated with a unique combination of fertilizer, irrigation, and crop rotation. If she randomly selects 4 plots to present at a conference, what is the probability that exactly 2 of the selected plots use organic farming practices, given that 5 of the 12 plots are organic?

Wed, 06 May 2026 16:54:40 +0000

**1. The Growing Focus on Sustainable Agriculture and Soil Health**
As farmers and researchers seek better ways to boost crop yields while protecting the planet, soil health has become a central theme in agriculture. This conversation is gaining momentum across the US, where changing climate patterns, consumer demand for transparency, and long-term food security concerns are driving innovation. Soil scientists analyze everything from nutrient content to microbial activity, and unique farming practices—like organic methods—are now key indicators of sustainable land use. Understanding how different treatments shape soil quality is critical for shaping tomorrow’s agricultural policies and practices, sparking interest in statistical analysis like selecting representative plots for research. **2. Why This Probability Matters in Precision Planning**
Conferences gather experts to share insights, and data-driven decisions rely on accurate, representative samples. When a soil scientist selects 4 out of 12 plots—5 of which follow organic practices—annexting exactly 2 organic plots in her presentation selection reveals more about how farming systems balance tradition and innovation