Question

A book is to be randomly chosen from the library. The probability that a randomly-chosen book is fiction is

Answer 1

Using Venn probabilities, and supposing the incomplete probabilities, it is found that there is a 0.35 = 35% probability that a randomly-chosen book from the library is fiction or has a white cover.

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The first step to solve a problem using Venn probabilities is identifying the events. In this problem, they are:

• Event A: Fiction.

• Event B: White cover.

The "or probability" is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

In this problem:

• The probability that a randomly-chosen book is fiction is 0.15, hence $P(A) = 0.15$.

• The probability that randomly-chosen book has a white cover is 0.3, hence $P(B) = 0.3$

• The probability that a randomly-chosen book is fiction and has a white cover is 0.1, hence $P(A \cap B) = 0.1$

Then:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cup B) = 0.15 + 0.3 - 0.1$

$P(A \cup B) = 0.35$

0.35 = 35% probability that a randomly-chosen book from the library is fiction or has a white cover.

You can learn more about Venn probabilities at brainly.com/question/25698611