Question

One hundred employees in the restaurant business were asked if they favored a ban on styrofoam containers. The results of the survey are shown in the table.

Gender Favor Oppose No Opinion
Males 28 10 6
Females 17 30 9
If an employee favors the ban, what is the probability that the employee is male?

Question 12 options:

0.702


0.458


0.323


0.622

Answer 1

To find the probability that an employee who favors the ban is male, we first need to determine the total number of employees who favor the ban and how many of those are males.

From the table provided:

- Males Favor: 28
- Females Favor: 17

Now, let's calculate the total number of employees who favor the ban:

\[
\text{Total Favor} = \text{Males Favor} + \text{Females Favor} = 28 + 17 = 45
\]

Next, we calculate the probability that an employee who favors the ban is male:

\[
\text{Probability (Male | Favor)} = \frac{\text{Number of Males Favor}}{\text{Total Favor}} = \frac{28}{45}
\]

Now, let's calculate this fraction:

\[
\frac{28}{45} \approx 0.6222
\]

Therefore, rounding to three decimal places, the probability is approximately 0.622.

Thus, the answer is:

**0.622**