Question: An angel investor plans to fund exactly 2 of 5 startups, each in a different sector. If the investor chooses randomly, what is the probability that the chosen startups are from adjacent sectors, assuming the sectors are arranged in a circle: AI, Biotech, Clean Energy, Quantum, Blockchain?

Tue, 05 May 2026 10:18:08 +0000

**An angel investor plans to fund exactly 2 of 5 startups, each in a different sector. If the investor chooses randomly, what is the probability that the chosen startups are from adjacent sectors, assuming the sectors are arranged in a circle: AI, Biotech, Clean Energy, Quantum, Blockchain?** In a landscape where innovation moves fast and funding decisions shape the future, an intriguing question arises: if an angel investor selects exactly two startups from a lineup of five distinct sectors—AI, Biotech, Clean Energy, Quantum, and Blockchain—chosen at random, what’s the chance both are from neighboring industries? Arrange the sectors in a circle, and the math behind this question reveals more about risk, diversity, and market momentum than you might expect. **Why This Question Is Gaining Traction** As startups increasingly blur sector lines and investors seek balanced portfolios, understanding sector adjacency is a growing concern. In the U.S. venture ecosystem, investors value strategic alignment across technology, health, clean tech, and digital infrastructure—but also recognize that true diversification includes complementary ecosystems. With sectors like AI and Biotech innovating at light speed, and Clean Energy and Quantum shaping next-gen infrastructure, the circle arrangement reflects real-world interconnectivity—making random selection patterns rich for analysis.