STAB22H3 Lecture Notes - Lecture 17: Bayesian Probability, Empirical Probability, American Express
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Xii from randomness to probability (p. 350: sample space p. 351) The sample space of a random phenomenon is the set of all possible outcomes. Example: toss a coin sample space: s = {h,t} Example: roll a die sample space: {1,2,3,4,5,6: event p. 351) An event is an outcome or a set of outcomes of a random phenomenon. That is, an event is a subset of the sample space. Each occasion upon which we observe a random phenomenon is called a trial. Example: the sample space s) for two tosses of a coin to is s = {hh, ht,th,tt} then (cid:522)obtaining exactly one head(cid:523) is an event, call it a, then a = {th, ht} When thinking about what happens with combinations of outcomes, things are simplified if the individual trials are independent. Roughly speaking, two trials are independent when the outcome of one trial does not influence or change the outcome of another. Example: coin flips are independant. n m m/n.
