Probability and statistics play a crucial role in mathematics by providing tools to analyze and make sense of uncertainty and randomness in various phenomena. Probability deals with the likelihood of events occurring, while statistics involves collecting, analyzing, interpreting, and presenting data to make informed decisions and predictions. These two branches of mathematics are widely applied in various fields such as science, engineering, economics, social sciences, and more to quantify uncertainty, test hypotheses, make predictions, and draw conclusions based on data.