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Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In this context, it refers to the chance of randomly selecting a worker not employed in a service occupation. To calculate this, one must consider the total number of workers and the number of workers in service occupations.

A pie chart is a circular statistical graphic divided into slices to illustrate numerical proportions. Each slice represents a category's contribution to the whole. In this case, the pie chart displays the distribution of workers across various occupations, allowing for a visual understanding of the proportion of workers in service versus other occupations.

Complementary events are two outcomes of an event that are mutually exclusive and collectively exhaustive. In this scenario, the event of selecting a worker not in a service occupation is the complement of selecting a worker in a service occupation. Understanding this concept is crucial for calculating the probability of the desired outcome by subtracting the probability of the complementary event from 1.