Question: A wind farm has 4 solar panels and 5 wind turbines. If three units are chosen at random, what is the probability that exactly two are solar panels and one is a wind turbine?

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

**Understanding the Odds: Probability in Renewable Energy Systems** Why are so many people now exploring renewable energy setups and how do investors assess performance risks? A common question in this space involves sampling data—like choosing units from mixed renewable installations—and calculating the likelihood of specific combinations. One such scenario: a wind farm with 4 solar panels and 5 wind turbines, from which three units are selected at random. What’s the chance exactly two are solar panels and one is a wind turbine? This mathematical question reveals insights into probabilistic thinking and risk evaluation in clean energy investments—especially relevant as households and businesses explore hybrid renewable systems. **Why This Question Matters in Renewable Energy Trends** As the U.S. accelerates toward clean energy adoption, understanding the composition and performance of renewable installations becomes crucial. With solar and wind technologies dominating utility-scale and distributed generation, analyzing how different assets distribute randomly within a portfolio sparks practical interest. The question reflects growing curiosity about asset diversification—balancing solar’s daytime output with wind’s variable generation—while underlying these choices is a layer of probability. Choosing three renewable units randomly and assessing outcome combinations isn’t just academic—it’s a foundation for smart planning and risk assessment.