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Yes; the p value used in hypothesis testing is probability. See the related link.
See related link. As stated in the link: In probability theory and statistics, correlation (often measured as a correlation coefficient) indicates the strength and direction of a linear relationship between two random variables
Parametric statistics is a branch of statistics that assumes data come from a type of probability distribution and makes inferences about the parameters of the distribution. See related link.
Mode is the most frequently occurring value in a data set. See related link. Note that in statistics, the definition is related to the data collected. In probability, the definition is related to the probability distribution which describes the random variable.