Statistical Sciences 1024A/B Chapter Notes - Chapter 13: Sample Space
19 Sep 2018
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Module 6 - chapter 13 general rules of probability. A and b are disjoint no overlap. P(a or b) union: entire red shaded area: note: when circles overlap they are not disjoint. P(a and b) intersection: purple shaded area: note: when circles overlap they are not disjoint. Two events a and b are independent if knowing that one occurs does not change the probability that the other occurs. Occurrence of one does not affect the other. Importance whether occurrence of one, affects the probability of the other. Disjoint events are not independent if one occurs, the other cannot occur. P(cid:894)a a(cid:374)d b a(cid:374)d c a(cid:374)d . k(cid:895) = p(cid:894)a(cid:895)*p(cid:894)b(cid:895)*p(cid:894)c(cid:895) p(cid:894)k(cid:895) Disjoint events: two events cannot occur at the same time, no intersection when p(a) > 0 and p(b) > 0, use addition rule if a and b are disjoint. If events are not disjoint they occur together. P(not w) = 1 p(w) = 1 0. 59 = 0. 41.
