A genetic study surveys 200 adults. 45% carry a specific SNP variant. If a random sample of 10 adults is selected, what is the approximate probability that exactly 4 carry the variant? (Use binomial approx)

Sun, 03 May 2026 14:41:10 +0000

**Why More People Are Asking How Genetic Variants Spread in Small Samples—And What the Data Says** Curious about the hidden patterns in everyday health and genetics?
A logical question emerging across US communities focused on personalized wellness and genetic research: If a random sample of just 10 adults is taken from a study involving 200 participants—where 45% carry a specific genetic marker—what’s the chance exactly 4 also carry it? Understanding this applies mathematical insight to real-life curiosity, helping demystify how genetic traits spread across populations, even in small groups. Using a clever statistical estimate, researchers find meaningful probability in everyday scenarios. ### Why This Question Matters Now Recent trends in direct-to-consumer genetic testing and population-based health studies have sparked widespread public interest in how genetic variants distribute within communities. With growing access to personal genomic data and increasing awareness of hereditary health risks, people naturally wonder: if genetic traits follow expected patterns, what’s the likelihood a small random sample reflects broader demographic trends? This isn’t just academic—it shapes how individuals and groups interpret their own health risks and participate in broader genetic research.