Intersection of Events/Examples/Both Prime and Even

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Examples of Intersections of Events

Consider the experiment $\EE$ such that $2$ (positive) integers are drawn at random from a table of random numbers.

Let $A$ be the event that at least $1$ of these integers is prime.

Let $B$ be the event that at least $1$ of these integers is even.


Then their intersections $A \cap B$ means:

at least one of the $2$ integers is even and at least one of the $2$ integers is prime.

That is, either:

one of the $2$ integers is $2$ (two)

or:

one of the $2$ integers is even and the other is prime.


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