Question: A tech startup has 5 engineers and 3 interns. If a team of 4 is randomly selected, what is the probability that exactly 2 are engineers?

Sun, 03 May 2026 16:07:06 +0000

**Why Startups Are Rethinking Team Composition—and How Probability Shapes Smart Hiring Decisions** In today’s fast-evolving tech landscape, teams are shrinking in size but expanding in strategic importance. With limited engineering talent and rising hiring demands, startups often find themselves balancing agility with expertise—especially when forming small, high-impact teams. A simple question—how to form a 4-person team from a group of 5 engineers and 3 interns—opens the door to deeper insights about combinatorial logic, data-driven decision-making, and inclusive hiring practices. The probability of selecting exactly 2 engineers from this mix isn’t just a math riddle; it reflects real-world team dynamics and the growing trend of optimizing talent balance for innovation. Understanding how probability calculates team composition helps startups ensure technical depth without sacrificing fresh perspectives. As remote and hybrid work expand access to diverse talent pools, the need to analyze such scenarios grows—especially among founders seeking evidence-based strategies that align with economic realities and evolving workplace norms. ### The Problem: Selecting A 4-Person Team from 5 Engineers and 3 Interns