Question

The intersection of events A = {apple pie, peach pie, pumpkin pie} and B = {cherry pie, blueberry pie, pumpkin pie} is ____________.

Answer 1

What do we do here?

Step-by-step explanation:

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Answer 2

The intersection of A and B is
`A\cap B=\{pumpkin pie\}`

Step-by-step explanation:

The event A is
`$A=\{\text { apple pie, peach pie, pumpkin pie }\}$`

The event B is
`B=\{cherry pie, blueberry pie, pumpkin pie\}`

Now, we shall find the intersection of the events A and B.

By definition, the intersection of the two events is the set which contains the elements that are found common in both the events.

Thus, from the definition, we need to determine the common elements that are found in both events.

Hence, from event A and B, the common elements that are found in both the events is Pumpkin pie.

Thus, the intersection of A and B is
`A\cap B=\{pumpkin pie\}`