Authors :
Tarikka B.; Saanvi G.; P. Sri Lekha; Dr. Sivasakti Balan D. P.; R. J. Thayumanaswamy
Volume/Issue :
Volume 10 - 2025, Issue 12 - December
Google Scholar :
https://tinyurl.com/3p87h836
Scribd :
https://tinyurl.com/5ctnpda5
DOI :
https://doi.org/10.38124/ijisrt/25dec1306
Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.
Abstract :
Bayes' Theorem is a mathematical formula in probability theory that calculates the conditional probability of an
event based on prior knowledge of related conditions. Bayes' Theorem is used in many areas like weather forecasting, spam
filtering, medical diagnosis, and more. Other examples include credit risk assessment, quality control, search engines,
recommendation systems, stock market prediction, and AImachine learning. This research highlights how Bayes theorem
helps in interpreting medical test results, classifying emails as spam or legitimate and to identify suspects or causes in
Forensics more accurately.
Keywords :
Bayes Theorem, Probability, Theoretical Frame, Smoking, Covid 19.
References :
- Bayes, T. (1763). An Essay towards solving a Problem in the Doctrine of Chances. Philosophical Transactions of the Royal Society of London, 53, 370–418.
- Feller, W. (1968). An Introduction to Probability Theory and Its Applications (Vol. 1). Wiley, New York.
- Ross, S. M. (2014). Introduction to Probability Models (11th ed.). Academic Press.
- DeGroot, M. H., & Schervish, M. J. (2012). Probability and Statistics (4th ed.). Pearson Education.
- Jaynes, E. T. (2003). Probability Theory: The Logic of Science. Cambridge University Press.
- Gelman, A., et al. (2013). Bayesian Data Analysis (3rd ed.). Chapman & Hall/CRC.
- Grinstead, C. M., & Snell, J. L. (2012). Introduction to Probability. American Mathematical Society.
- Devore, J. L. (2015). Probability and Statistics for Engineering and the Sciences (9th ed.). Cengage Learning.
- Kreyszig, E. (2011). Advanced Engineering Mathematics (10th ed.). Wiley.
- Walpole, R. E., Myers, R. H., Myers, S. L., & Ye, K. (2017). Probability and Statistics for Engineers and Scientists (9th ed.). Pearson.
Bayes' Theorem is a mathematical formula in probability theory that calculates the conditional probability of an
event based on prior knowledge of related conditions. Bayes' Theorem is used in many areas like weather forecasting, spam
filtering, medical diagnosis, and more. Other examples include credit risk assessment, quality control, search engines,
recommendation systems, stock market prediction, and AImachine learning. This research highlights how Bayes theorem
helps in interpreting medical test results, classifying emails as spam or legitimate and to identify suspects or causes in
Forensics more accurately.
Keywords :
Bayes Theorem, Probability, Theoretical Frame, Smoking, Covid 19.