From what I understand, negative binomial is $P(X=k$ number of trials until $r^{th}$ success)
From this chart,
For the red graph $r = 10$, $P(X=k$ number of trials until $10^{th}$ success)
For all $X<10$, the probability should be $0$ because it is impossible to have less than $10$ trials and get $10$ successes, but the red graph says that there is a chance. Why?

Usually negative binomial is defined in terms of number of failures until the $r$ successes have been achieved, not the total number of trials.