Sect 6. Probability CONCEPTS Space, point, event, probability distribution Properties Expected value Conditional probability Independent events Bayes' theorem NOTATION SKILLS 1. Identify concepts in a context E.g., what are the points of a problem E.g., which event occurred 2. Understand probabilities E.g., compute the probability of an event E.g., compute the conditional probability of an event E.g., compute an expected value 3. Understand properties E.g., relate probability of different events from properties E.g., tell whether two events are independent SOURCES *** Recommended *** Youtube: [Discrete Math 2] Discrete Probability by TheTrevTutor videos 3-5 https://www.youtube.com/playlist?list=PLDDGPdw7e6Aj0amDsYInT_8p6xTSTGEi2 Wikibooks: Probability Space https://en.wikibooks.org/wiki/Probability/Probability_Spaces Wikibooks: Conditional Probability https://en.wikibooks.org/wiki/Probability/Conditional_Probability *** Recommended *** Youtube: Bayes' Theorem by Trefor Bazett (good) https://www.youtube.com/watch?v=XQoLVl31ZfQ https://www.youtube.com/watch?v=k6Dw0on6NtM Mathsisfun: Bayes' Theorem https://www.mathsisfun.com/data/bayes-theorem.html *** Recommended *** Lerma, chap 6 Smid, sect 5.2-5.5, 5.8, 5.10 BDS, chap 5 Gallier, chap 6 (extensive, overkill)