Question

Cyber Affair. As found in USA TODAY, results of a survey byInternational Communications Researchrevealed that roughly 75% of adult women believe that a romantic relationship over the Internet while in an exclusive relationship in the real world is cheating. What are the odds against randomly selecting an adult female Internet user who believes that having a " cyber affair " is cheating?

Short answer

The odds are 1:3.

Step-by-step solution

Step 1. Given information.

The given statement is:

As found in USA TODAY, results of a survey byInternational Communications Researchrevealed that roughly 75% of adult women believe that a romantic relationship over the Internet while in an exclusive relationship in the real world is cheating.

Step 2. Find the odds against randomly selecting an adult female Internet user who believes that having a " cyber affair " is cheating.

Let's assume the total number of adult females is x.

Then the women who believe a romantic relationship is cheating will become: 0.75x

Therefore, the Women who do not believe a romantic relationship is cheating:

$x-0.75x=0.25x$

The odds are now set against a female internet user who believes having a cyber affair is a form of cheating:

$$\begin{gathered} =\frac{\mathrm{Women}\mathrm{who}\mathrm{do}\mathrm{not}\mathrm{believe}\mathrm{a}\mathrm{romantic}\mathrm{relationship}\mathrm{is}\mathrm{cheating}}{\mathrm{women}\mathrm{who}\mathrm{believe}\mathrm{a}\mathrm{romantic}\mathrm{relationship}\mathrm{is}\mathrm{cheating}} \\ =\frac{0.25}{0.75} \\ =\frac{1}{3} \end{gathered}$$