Question: A statistician randomly selects 5 data points from a dataset of 20. What is the probability that exactly 2 of the selected points belong to a specific subset of 4 points?

Sun, 03 May 2026 18:16:14 +0000

**Why Probability Matters When Data Selection Feels Random** We’ve all wondered at some point: what’s the real chance behind a random selection? From game shows to scientific studies, random sampling reveals patterns hidden in large datasets—a key tool in fields where precision drives decisions. A common question balances simplicity with complexity: *A statistician randomly selects 5 data points from a dataset of 20. What is the probability that exactly 2 of the selected points belong to a specific subset of 4 points?* This query isn’t just theoretical—it reflects real-world decisions in research, data science, and risk analysis. As organizations increasingly rely on data-driven strategies, clarity around sampling probabilities becomes essential to interpret results accurately and avoid misleading conclusions. **Why This Question Sparks Interest Now**