Which word would best describe a situation where outcomes are guessed?

The best word to describe a situation where outcomes are guessed is "conjecture." This term specifically refers to the formation of opinions or conclusions based on incomplete information or without sufficient evidence. When people conjecture, they make educated guesses or hypotheses about what might happen or what is true, reflecting uncertainty or a lack of definitive knowledge.

In contrast, "infallible" refers to something that is incapable of making mistakes or being wrong, which is the opposite of guessing. "Syndicate" denotes a group or organization formed for a common purpose, which does not relate to the idea of guessing outcomes. "Pandemonium" describes a state of wild confusion or uproar, which while it could occur in chaotic situations, does not directly express the concept of making guesses about outcomes. Therefore, "conjecture" captures the essence of making guesses effectively.