Question

Tthe library has 463 books dealing with science and 592 books of fiction. Of these, 37 are science fiction books. How many books are either science or fiction?

Answer 1

By Probability, the number of books that are either science or fiction is 1018.

What is Union and Intersection in Probability?

A set that contains every element in at least one of the two sets is called the union of two sets.

A new set that includes every element from both sets is created when two sets intersect.

The formula including Union and Intersection is :

n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

Let A= Science Books

B = Books of function

A ∪ B = Science Fiction Books

A ∩ B = Either science or fiction Books

n(A)= 463

n(B) = 592

n(A ∩ B) = 37

Therefore, n(A ∪ B) is calculated below:

n(A ∪ B) = 463 + 592 - 37

n(A ∪ B) = 1055 - 37

n(A ∪ B) = 1018

Therefore, the number of books that are either science or fiction is 1018.

To learn more about Intersection of Sets, Visit:

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