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We could say set c is the intersection of a and b and it s this set right over here.
Union vs intersection probability. In order to perform basic probability calculations we need to review the ideas from set theory related to the set operations of union intersection and complement. The intersection is written as a cap b or a text and b. The set of 4 and 12 is the intersection of sets a and b. Example pageindex 8 two fair dice are thrown.
The union of two or more sets is the set that contains all the elements of each of the sets. Summary of union vs. Let s think about a union b. The next example in which we compute the probability of a union both by counting and by using the formula shows why the last term in the formula is needed.
The intersection of events a and b. The figure below shows the union and intersection for different configurations of two events in a sample space using venn diagrams. The intersection of two sets is a new set that contains all of the elements that are in both sets. And we could even if we want to we could even label this as a new set.
Now let s think about union. An element is in the union if it belongs to at least one of the sets. Let s think about a i want to do that in orange.
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