A technology company surveyed a random sample of of its employees to determine their primary operating system and their job role. The table below summarizes the results of the survey.
| Job Role | macOS | Windows | Total |
|---|---|---|---|
| Developer | |||
| Designer | |||
| Total |
If an employee from the survey whose job role is developer is selected at random, what is the probability that the employee's primary operating system is Windows?
Answer: 0.625
Answer
5/8 (or 0.625)
The question asks for the probability that a randomly selected employee uses Windows, given that their job role is developer. This restricts the sample space to only the developers. From the table, there are total developers, which serves as the denominator. Within this group of developers, use Windows, which serves as the numerator. The probability is , which simplifies to or . Both and are correct formats that fit the standard SAT grid-in requirements.
Step-by-Step Solution
Key Concept
Conditional Probability in Two-Way Tables