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Example pageindex 8 two fair dice are thrown.
Union vs intersection probability. Find the probabilities of the following events. Now let s think about union. The intersection of events a and b. An element is in the union if it belongs to at least one of the sets.
Summary of union vs. 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. We could say set c is the intersection of a and b and it s this set right over here. 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.
And we could even if we want to we could even label this as a new set. 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 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.
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. The intersection is written as a cap b or a text and b.
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