Question

In a large city, 15,000 workers lost their jobs last year. Of them, 7400 lost their jobs because their companies closed down or moved, 4600 lost their jobs due to insufficient work, and the remainder lost their jobs because their positions were abolished. If one of these 15,000 workers is selected at random, find the probability that this worker lost his or her job.

a. Because the company closed down or moved
b. Due to insufficient work
c. Because the position was abolished.

Answer 1

The probability that a randomly selected worker lost his or her job due to different reasons can be calculated using the given information.

Step-by-step explanation:

To find the probability that a randomly selected worker lost his or her job, we need to calculate the probabilities for each of the given scenarios:

1. a. Because the company closed down or moved: There were 7400 workers who lost their jobs for this reason. So the probability is 7400 / 15000 = 0.4933, or approximately 0.49.
2. b. Due to insufficient work: There were 4600 workers who lost their jobs for this reason. So the probability is 4600 / 15000 = 0.3067, or approximately 0.31.
3. c. Because the position was abolished: The remainder of the workers lost their jobs for this reason. So the probability is 1 - (0.49 + 0.31) = 0.20, or 20%.