Question

use the pie chart at the right which shows the number of workers (in thousands) by industry for a certain country. find the probability that a worker chosen at random was not employed in the services industry. the probability is (round to three decimal places as needed.)

Explanation:

Step1: Find the percentage of workers not employed in the service industry

The sum of all percentages should be \(100\%\). Let the percentage of workers not in service industry be \(x\).
We know the percentages of workers in other industries: Agriculture \(25\%\), Industry \(25\%\), Retail \(12\%\), Manufacturing \(18\%\).
The percentage of workers in service industry is \(20\%\).
The formula for probability (using percentage) is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, if we consider the total as \(100\) (in percentage terms), the number of favorable outcomes (not in service) is \(100 - 20\).

Step2: Calculate the probability

Using the formula \(P=\frac{100 - 20}{100}\).

$$P=\frac{80}{100}=0.8$$

Answer:

\(0.8\)