Probability set operations like union, intersection, and complement, as Venn diagrams
This math skill involves understanding three probability set operations—intersection, union, and complement—using Venn diagrams. Intersection represents the overlap between two sets (events A and B both occurring), union covers all elements in either set (A or B occurring), and complement focuses on elements outside a set (A not occurring).
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What do these probability set operations mean, as visual Venn diagrams?
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The first, with the symbol that looks like the letter 'N', is called intersection. It means the probability of both 'A' and 'B' occurring, so it's the sliver of overlap between the 'A' and 'B' circles
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The second, with the symbol that looks like the letter 'U', is called union. It means the probability of either 'A' or 'B' occurring. It's both circles, but notice how the overlap between them would be counted twice if we just added the two together.
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The third, with the single apostrophe, is called complement. It means the probability of 'A' not occurring, so it's the rest of the space around 'A'
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Probability set operations like union, intersection, and complement, as Venn diagrams
Test your understanding of probability set venn diagrams by practicing it! Work through the below exercises to use it in practice.