Question

A shelf holds $12$books. 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

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

Step-by-step solution

Given

We have$12$books,

$8$Fictions and $4$Non-fictions

F= Fiction, N= Non fictions

Introduction:

Sample Space refers to the set of all possible outcomes.

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 $\{\mathrm{F}1,\mathrm{F}2,\mathrm{F}3,\mathrm{F}4,\mathrm{F}5,\mathrm{F}6,\mathrm{F}7,\mathrm{F}8,\mathrm{N}1,\mathrm{N}2,\mathrm{N}3,\mathrm{N}4\}$because only these are our all possible outcomes.