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Chapter 3: Q. 36 (page 217)

A shelf holds 12books. Eight are fiction and the rest are nonfiction. Each is a different book with a unique title. The fiction books are numbered one to eight. The nonfiction books are numbered one to four. Randomly select one book

Let F = event that book is fiction

Let N = event that book is nonfiction

What is the sample space?

Short Answer

Expert verified

Sample Space(S):{F1,F2,F3,F4,F5,F6,F7,F8,N1,N2,N3,N4}.

Step by step solution

01

Given

We have12books,

8Fictions and 4Non-fictions

F= Fiction, N= Non fictions

Introduction:

Sample Space refers to the set of all possible outcomes.

02

Explanation

We must locate the sample space, which, as we all know, is a collection of all conceivable outcomes, none of which are known.
So, Sample Space is {F1,F2,F3,F4,F5,F6,F7,F8,N1,N2,N3,N4}because only these are our all possible outcomes.

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