Marking the Star - 2

There are $5$ lines in the given figure. Any two lines of this figure always intersects to form a point. That means any point of this figure lies on $2$ lines. For all of the $5$ lines to have $3$ marked points on them, we have to mark $5\times 3 = 15$ points, each point counted twice. So effectively we have to mark $\large\frac{15}{2}$ $= 7.5$ points which is impossible. Hence it is impossible to mark the points to achieve such condition.