Answer
Let A denote the workers who lost their jobs because their companies closed down or moved, and f denote the total number of workers.
P(A) = $\frac{A}{n}$
$= \frac{7400}{15,000}$
=0.493
Let B denote the workers who lost their jobs due to insufficient work
P(B) =$\frac{f}{n}$
$= \frac{4600}{15,000}$
=0.307
Let C denote the workers who lost their jobs because the position was abolished
P(because he position was abolished) = $\frac{C}{n}$
$= \frac{3000}{15,000}$
=0.2
P(A)+P(B)+P(C)= 0.493+0.307+0.2
=1
Work Step by Step
These probabilities add to 1.0, because according to the second properties of probabilities, the sum of the probabilities of final outcomes for an experiment is always 1.