We report some additional examples of explicit solutions to an inverse first-passage place problem for one-dimensional diffusions with jumps, introduced in a previous paper. If $X(t)$ is a one-dimensional diffusion with jumps, starting from a random position $η\in [a,b],$ let be $τ_{a,b}$ the time at which $X(t)$ first exits the interval $(a,b),$ and $π_a = P(X(τ_{a,b}) \le a)$ the probability of exit from the left of $(a,b).$ Given a probability $q \in (0,1),$ the problem consists in finding the density $g$ of $η$ (if it exists) such that $π_a = q;$ it can be seen as a problem of optimization.