Thomas Bayes, the founder of Bayesian theory, entered the University of Edinburgh in 1719 to study logic and theology. On his return in 1722 he worked with his father in a small church. He was also a mathematician and in 1740 made a novel discovery that he never published, but his friend Richard Price found it among his notes after his death in 1761, re-edited it and published it, but no one paid attention to it until Laplace in the late 18th century, when data, especially in Europe, were not of equal reliability. The young mathematician Pierre-Simon Laplace came to believe that probability theory held the key, and he independently discovered Bayes' mechanism and published it in 1774. Laplace expressed the principle not in an equation but in words. Today, Bayesian statistics is a branch of statistics that is very important in terms of philosophy and the interpretation of probability, and is famous for Bayes' theorem, which was presented after Bayes's death. Alan Turing was a British computer scientist, mathematician, and philosopher who is now known as the father of computer science and artificial intelligence. His outstanding achievements during his short life are the result of the adventures of a beautiful mind that was finally extinguished forever with a suspicious death. During World War II, Turing worked at Bletchley Park, the British codebreaking center, and for a time was responsible for the analysis of German naval ciphers. He invented several methods, specifically Bayesian, without mentioning his name, to break German codes, as well as an electromechanical machine method that could find the characteristics of the Enigma machine. Alan Turing was a leading scientist who played an important role in the development of computer science and artificial intelligence and the revival of Bayesian thought. Turing made an influential and stimulating contribution to the field of artificial intelligence with the Turing test. He then worked at the National Physical Laboratory in England, and presented one of the first designs for a stored program computer, although it worked, which was never actually built, known as the "Manchester Mark 1". In 1948, he went to the University of Manchester to work on the world's first real computer. However, later the role of Bayes' rule and law in the scientific developments of the day became more obvious. And many Bayesian probabilistic methods in the 21st century have made important advances in the explanation and application of Bayesian statistics in the development of mathematics and have solved many problems in the world. Modern technology in the world has grown depending on Bayesian ideas, which will be reviewed in this article.