Teorema di Bayes + esercizio maturità scientifica

The Probability and Statistical Inference course for University ❗👇🏻 https://matematica-con-barbara.teacha... Want to learn more? Watch the video on conditional probability here❗👇🏻    • Probabilità condizionata: spiegazione + es...   Hi everyone! Today we're talking about Bayes' theorem! A fundamental topic in probability related to cause-and-effect situations! Bayes' theorem is one of the fundamental theorems for probability theory. It's named after the mathematician Thomas Bayes, who formulated it. It allows us to calculate the probability of a cause triggering an event. Therefore, Bayes' theorem comes into play whenever there is a cause-and-effect relationship. Bayes' theorem arose from the need to understand how to draw information from experience, or from a series of collected data, and how to use it. Bayes' theorem is useful in many everyday applications, for example, to calculate insurance risk, weather or earthquake forecasts, or the efficacy of a drug. Let's analyze Bayes' theorem in detail. The fundamental prerequisites are understanding the distinction between logical union and intersection, between disjoint, compatible, independent, and dependent events, and the rule of conditional probability. Bayes' theorem allows us to calculate a posterior probability, that is, the probability of a certain event occurring given partial information, that is, a previously occurring event. Therefore, we can use the concepts of conditional probability and total probability.