Negative binomial distribution help

[Revision99]

With global pandemic of COVID-19, media is all the time buzzing the rumors. A layman has 65% chance of believing such rumors. Find the probability that at least 10 persons do not believe such rumors before the 3rd person who believes it.

Now I know we use negative binomial here but I'm very confused which probability and what x to use

 

[Steven G]

What might one sample look like if at least 10 persons do not believe such rumors before the 3rd person who believes it. What will that probability be?