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An element is in the union if it belongs to at least one of the sets.
Union vs intersection probability. Find the probabilities of the following events. The intersection is written as a cap b or a text and b. Let s think about a union b. Summary of union vs.
And we could even if we want to we could even label this as a new set. Intersection both union and intersection are the two fundamental operations through which sets can be combined and related to each other. The figure below shows the union and intersection for different configurations of two events in a sample space using venn diagrams. The intersection of events a and 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. Let s think about a i want to do that in orange. The union of two or more sets is the set that contains all the elements of each of the sets. Example pageindex 8 two fair dice are thrown.
Now let s think about union. The set of 4 and 12 is the intersection of sets a and b. In terms of set theory union is the set of all the elements that are in either set or in both whereas intersection is the set of all distinct elements that belong to both the sets.
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