What is the difference between plausibility and probability?

plausibility cannot exist other than through human reasoning, while probability is purely a subject-related notion.

Answer :-

Plausiblity :-Plausible is referred to an explanation, an argument, or a statement, while possible is referred to a fact, or an event. For example, my explanation on how in future time traveling will be possible could be plausible, but that doesn't mean traveling through time will be possible.

probability :-The chance that something will happen. How likely it is that some event will occur. Sometimes we can measure a probability with a number like "10% chance", or we can use words such as impossible, unlikely, possible, even chance, likely and certain.

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the correct answer would b,   to show that she was very influential in the democratic party.