Biology 2244A/B Lecture Notes - Lecture 3: Sample Space
Document Summary
Chance behaviour is unpredictable in the short run but has a regular, predictable pattern in the long run. A phenomenon is random if individual outcomes are uncertain but there is a regular distribution of outcomes in a large number of repetitions. The probability of any outcome of a random phenomenon is the proportion of times the outcome would occur in a very long series of repetitions. Sample space s of a random phenomenon is the set of all possible outcomes. An event is an outcome or set of outcomes of a random phenomenon. Probability model: mathematical description of a random phenomenon consisting of two parts: a sample space s and a way of assigning probabilities to events. If a is an event, we write its probability as p(a) Disjoint events; two events that have no outcomes in common, so cannot both occur simultaneously. Probability: measure of the long-run frequency of an event occurring, in identical repeated trials.