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Wall Street Notes - CFA® Level 1 Crash course: https://wallstreetnotes.com Full course library: https://wallstreetnotes.com/p/level-1... Topics covered in this video: Quantitative Methods CFA® Level 1 2023 Reading 3: Probability Concepts Learning Outcome Statements covered in this reading: define a random variable, an outcome, and an event identify the two defining properties of probability, including mutually exclusive and exhaustive events, and compare and contrast empirical, subjective, and a priori probabilities describe the probability of an event in terms of odds for and against the event calculate and interpret conditional probabilities demonstrate the application of the multiplication and addition rules for probability compare and contrast dependent and independent events calculate and interpret an unconditional probability using the total probability rule calculate and interpret the expected value, variance, and standard deviation of random variables explain the use of conditional expectation in investment applications interpret a probability tree and demonstrate its application to investment problems calculate and interpret the expected value, variance, standard deviation, covariances, and correlations of portfolio returns calculate and interpret the covariances of portfolio returns using the joint probability function calculate and interpret an updated probability using Bayes formula identify the most appropriate method to solve a particular counting problem and analyze counting problems using factorial, combination, and permutation concepts. CFA Level 1 Reading 3: Probability Concepts - Complete CRASH COURSE 2022 - Wall Street Notes 0:00 Introduction 1:03 2 PROPERTIES OF PROBABILITY 7:02 EXPECTED VALUES The probability-weighted average of possible outcomes 8:19 VARIANCE & STDEV USING PROBABILITIES 8:58 COVARIANCE & CORRELATION 10:25 COVARIANCE USING HISTORICAL VALUES 11:28 PORTFOLIO VARIANCE 12:39 COVARIANCE USING PROBABILITIES 13:38 BAYE'S THEOREM Used to update old probabilities when new information is given