The term "probability function" refers to a mathematical function that describes the likelihood of an event occurring. There are several synonyms for this term, including probability distribution, probability density function, and probability mass function. Each of these terms describes a different aspect of the probability function, with the probability distribution referring to the overall shape of the function, the probability density function describing the density of probability at different points, and the probability mass function referring specifically to discrete events. Other synonyms for the probability function include frequency function, chance function, and likelihood function. Regardless of the terminology used, the probability function is an essential concept in probability theory and statistical analysis.