Earlier quoted context omitted.
The percentage isn't the percent of it occurring but the area affected. So 51% of thunderstorms means 51% of that town/county/etc. will experience thunderstorms.
That's not how it works. Probability of precipitation means exactly what it sounds like: the probability that precipitation will fall in a specific forecast area. Here's the definition from the NWS: https://forecast.weather.gov/glossary.php?word=probability%2...
[0] https://www.ktvh.com/news/weather-wise/weather-wise-so-there...