I was using the following website for a visual information theory : <http://colah.github.io/posts/2015-09-Visual-Information/>.

And I came across the following:
[![Picture](https://i.stack.imgur.com/P3WNG.png)](https://i.stack.imgur.com/P3WNG.png)

So it says that in the first image where the lines are straight the events are independent. But in the second picture when the events are not independent then the lines are bloated. I am wondering why the reason is so. It says here that some of the areas are bloated and some are not, and this is how we know that one event is more probable than the other. But how does that factor into independence? Even in the first picture, one portion of the area is bigger than the other. So how does the area matter or give us an answer about independence?