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Is there any specific feature in probability of independent events that can be shown in its Venn diagram? or maybe the diagram just and only depends on the problem?

In another words, is it possible to know if events are independent just by their Venn diagram?

I found this Q&A in SE, but didn't help much.

parvin
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    Venn diagrams are topological: their sizes do not convey numerical values while the picture you link to does. So Venn diagrams cannot convey the concept of independence though in some cases they can convey mutual exclusivity – Henry Jul 07 '17 at 08:22
  • Didn't help much? Sorry then, but I don't think there is anything better. – drhab Jul 07 '17 at 08:23
  • @Henry thanks, and can't they show independence with having and not having intersections either? – parvin Jul 07 '17 at 08:27
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    Independence in probability is a property about sigma-algebras (generated by the events/random variables) under a certain probability measure. Somethings are independent under one particular probability, but they may be dependent under another probability. Venn Diagram is usually used to show some set relationship – BGM Jul 07 '17 at 08:27
  • @drhab well I don't understand it cuz it's just one example... – parvin Jul 07 '17 at 08:27
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    In a Venn-diagram you can go for (you don't have to): size of area linked with event corresponds with probability of event. In that context independence of events appears also in the diagram. This comes forward in the link in your question. – drhab Jul 07 '17 at 08:33
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    Your link shows a very simple exmp. With explanation, it might or might not be helpful in visualizing independence. As you begin the study of probability, it is important to distinguish between the logical concept of disjointness, which can easily be shown in a Venn Diagram, and the probability concept of independence, which is not easily shown in a Venn Diagram. // ... – BruceET Jul 08 '17 at 18:52
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    ... If I draw 2 balls from an urn, then events "both balls red" and "both balls black" are obviously disjoint. In order to discuss whether these events are independent, I need probability info. (How many balls of each color in urn? Drawn at random? Drawn with or w/o replacement? Etc.) // People have tried various schemes of representing independence in "modified Venn Diagrams," where areas represent probabilities. To date none of these schemes has become generally popular. I guess because way too much explanation is required. – BruceET Jul 08 '17 at 18:56
  • Possible duplicate of Can one infer independence by simple reasoning/intuition? – BCLC May 26 '18 at 17:11
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    @bclc already checked that. Was not my answer. – parvin Jun 05 '18 at 18:07
  • @parvin k XD $ \ $ – BCLC Jun 06 '18 at 22:11

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