Video: Determining the Theoretical Probability of an Event

The table shows the number of employees in each department of a company. If an employee is selected at random, what is the probability that they are part of the sales department?

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Video Transcript

The table shows the number of employees in each department of a company. If an employee is selected at random, what is the probability that they are part of the sales department?

Here we can see that there are two employees in the sales department. The probability of being in the sales department will be the number of employees in sales divided by the total number of employees. So we know that there are two employees in sales. Now to find the total, there are five in marketing, eight in finance, 25 in customer service, six in warehouse, four in IT, and two in sales.

So now to find our denominator, we need to add these numbers together. And we get 50. So the probability of being in the sales department is two out of 50. However, we need to reduce. Two goes into two and two also goes into 50, resulting in one twenty-fifth. Therefore, if an employee would be selected at random, the probability that they’re in the sales department would be one twenty-fifth.

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