MATH 321 Lecture Notes - Lecture 27: Sample Space, Au Jus, Roast Beef

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5. 3 independence and the multiplication rule 5. 3. 3 compute at-least probabilities (1 of 4) The probability that a randomly selected female aged 60 years old will survive the year is. 99. 186% according to the national vital statistics report, vol. P(at least one dies) = 1 p(none die) = 1 p(all survive) 5. 3 independence and the multiplication rule 5. 3. 3 compute at-least probabilities (2 of 4) Summary: rules of probability: the probability of any event must be between 0 and 1. If we let e denote any event, then 0 . P(e) 1: the sum of the probabilities of all outcomes in the sample space must equal 1. That is, if the sample space s = {e1, e2, , en}, then p(e1) + p(e2) + + p(en) = 1. 5. 3 independence and the multiplication rule 5. 3. 3 compute at-least probabilities (3 of 4) Summary: rules of probability: if e and f are disjoint events, then p(e or f) = p(e) + p(f).

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