Vocab question: prone to believe

Is it OK to say: They are prone to believe in conspiracy theories?

My dictionary says prone to + infinitive is OK.
But I don't remember seeing this usage.

I'd say eg They are prone to belief in conspiracy theories.

Perfect StrangerIs it OK to say: They are prone to believe in conspiracy theories?

It seems that this usage (prone to + infinitive) is debated. For me, this sentence sounds OK, but others with the same pattern might not. For example, I would change "He's prone to find mistakes" to "He's prone to finding mistakes".

CliveI'd say eg They are prone to belief in conspiracy theories.

Thanks Clive. Wouldn't it sound better if we used a plural form of the noun here? Just out of curiosity.

No, it wouldn't.

Thanks.

Is there any particular reason why we say He is prone to headacheS rather than headache?

Perfect StrangerIs there any particular reason why we say He is prone to headacheS rather than headache?

Because "headache" is a countable noun.

I feel that inclined is a better choice than prone in this case. Anyone else?

To me, inclined implies a small degree of choice, of willingness.
Prone does not..

CliveTo me, inclined implies a small degree of choice, of willingness.Prone does not..

I see inclined as something I am normally likely to do, while prone is something that happens to me. I am inclined to make mistakes. ~~ I am prone to accidents (accident-prone). [ Corrections welcome, of course. ]

PhilipI feel that inclined is a better choice than prone in this case. Anyone else?

Actually, I'm the opposite. I prefer "prone to headaches" over "inclined to headaches".