STAB22H3 Lecture Notes - Lecture 8: Empirical Probability, Sample Space, Conditional Probability
38
STAB22H3 Full Course Notes
Verified Note
38 documents
Document Summary
Sample space (of 1 random phenomenon): set of all possible outcomes e. g. toss a coin -> sample space: s = {head, tail} Event: outcome or set of outcomes of 1 random phenomenon i. e. subset of sample space e. g. a = {th, ht} Trial: each occasion when observing 1 random phenomenon. Independent when outcome of 1 trial x influence or ch outcome of another. Law of large numbers (lln): relative frequency of some outcome reaches limiting value as no. Probability: limiting value i. e. long term relative frequency -> = empirical probability cuz based on repeatedly observing event s outcome. Theoretical p: based on long run behaviour or equally likeliness. X common outcome & x occur simultaneously e. g. {1,2} & {4,6} vs {1,2} & {2,3} = disjoint vs x disjoint cuz common outcome. Addition rule for disjoint events: p(a or b) = p(a) + p(b)
