Question

A library has $3000$ books of fiction and $4000$ books of non-fiction. What is the probability that a book selected at random is fiction?

Answer 1

Step Finding the probability of the book being fiction:

The event is selecting a book at random and it being fiction.

There are $3000$ books of fiction in the library.

So, the number of favorable outcomes is $3000$.

The total number of outcomes will be the number of books the library has.

$3000+4000=7000$

So, the total number of outcomes is $7000$.

The formula for probability is

$Probability=\frac{Numberoffavorableoutcomes}{Totalnumberofoutcomes}$

$$\begin{gathered} \Rightarrow P\left(fiction\right)=\frac{3000}{7000} \\ \therefore P\left(fiction\right)=\frac{3}{7} \end{gathered}$$

Therefore, the probability of a book being fiction is $\frac{3}{7}$.