CEO and COO can be thought of as the same job, but CEO tends to be outward facing and the COO tends to be inward facing. (Not strictly or exclusively, of course.)<p>So you might think of the CEO being strategic or "leader", which isn't wrong, but the CEO is also actually "doing" things but the things he "does" are more with investors, other CEOs, and so on. To the extent that COO is outward facing it is more likely to be with suppliers, partners (after CEO has made the partnership happen), and so on.<p>I would say that generally you're quite wrong about COO not making decisions.<p>But also COO is one of those titles that can be anything at all. Chief of Staff, Fixer, EA.<p>I think an interesting question is, where do the various heads (product, design, engineering, sales/revenue, talent, etc) report to? That would tell you the most about how the job functions are split between CEO and COO. It's going to be company-specific.