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# Explain the intersection of two events, A and B.

Sets are very useful for representing one or more objects in the form of a venn diagram. They are also used to represent the common items in different sets and how they relate to each other.

## Answer: Intersection of two events, A and B, is a set that contains all the elements of A that also belong to B and vice-versa.

Let's understand the statement in depth.

**Explanation:**

Let's take two sets, A and B.

Let's consider A = {3, 7, 12, 45} and B = {3, 7, 8, 9} as shown in the above picture. We can clearly see that {3, 7} are present in both sets and are marked in the region common to A and B. This region is called the intersection between A and B.

### Hence, the intersection of two events, A and B, is a set that contains all the elements of A that also belong to B and vice-versa.

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