Statistics for Data Science 1 - W7_L6: Conditional probability - independent events: properties

Welcome to Week 7 Lecture 6 of the course "Statistics for Data Science - I" by Prof. Andrew Thangaraj. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1002.html Video Overview This lecture explores the relationship between conditional probability and independence in probability theory. It examines how the probability of an event E changes when conditioned on another event F, and what this means when events are independent. The lecture discusses the relationship between independent events and their complements, and extends the concept of independence to more than two events. It also reviews the multiplication rule for independent events and includes an illustrative example involving the probability of having three daughters to demonstrate the practical application of these properties. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #conditionalprobability #independence #probabilitytheory #events #complements #multiplicationrule #independentevents #equilibrium #probabilityconcepts #statistics #dataanalysis #quantitativemethods #datascienceeducation #statisticallearning