Sentence examples similar to a good example is probably from inspiring English sources

The phrase "a good example is probably" is correct and usable in written English.
You can use it when introducing an example that illustrates a point or argument, suggesting that the example is likely relevant or appropriate.
Example: "When discussing the impact of climate change, a good example is probably the increase in extreme weather events we have witnessed in recent years."
Alternatives: "a fitting example might be" or "an illustrative case could be".