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How does entropy relate to probability?

Entropy and probability are closely connected — entropy measures how likely or how “spread out” the possible arrangements (microstates) of a system are.

Here’s the idea in simple terms:

  • Every system can exist in many different microscopic arrangements (microstates).
  • Some arrangements are more probable than others.
  • When there are many possible microstates that the system can occupy, it has high entropy — meaning it’s more disordered or random.
  • When there are few possible microstates, the system has low entropy — meaning it’s more ordered or predictable.

In essence:

Entropy increases when the number of probable microscopic arrangements increases.

So, entropy is a measure of how probable a state is — the more ways something can happen, the higher its entropy.

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