Using the probability concept, it is found that there is a 0.8901 = 89.01% probability that a worker chosen at random was not employed in the manufacturing industry.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
The question is incomplete, but the pie-chart can be found in the internet.
There are 115393 + 2765 + 16015 + 11544 = 145,717 workers.
Of those, 115393 + 2765 + 11544 = 129,702 are not employed in the manufacturing industry.
Hence:
0.8901 = 89.01% probability that a worker chosen at random was not employed in the manufacturing industry.