Biochemistry 2280A Study Guide - Midterm Guide: Sample Space, Conditional Probability, Subset

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Sample space: complete set of outcomes that are mutually exclusive (no overlap) An event is a subset of the sample space. For a set to be a sample space: must be complete contain all possible outcomes, must be mutually exclusive no overlap of outcomes. Mutuall(cid:455) e(cid:454)(cid:272)lusi(cid:448)e: (cid:373). e. e(cid:448)e(cid:374)ts (cid:272)a(cid:374)"t (cid:271)oth happe(cid:374) at the sa(cid:373)e ti(cid:373)e pr(anb) = 0. I(cid:374)depe(cid:374)de(cid:374)t e(cid:448)e(cid:374)ts: do(cid:374)"t effe(cid:272)t ea(cid:272)h other pr(anb) = pr(a) x pr(b) When looking for if it is a sample space, look if all outcomes are possible and none are overlapping. Probability = number of favourable events / number of total events. Independent: with replacement, therefore each event is not affected by any other. Dependent: without replacement, can be affected by previous events. Opposite each other = treat as 2 set objects, do(cid:374)"t do (cid:1006)! Apart each other = treat as 1 pr(together) (cid:449)he(cid:374) pro(cid:271)le(cid:373)s i(cid:374)(cid:272)lude (cid:862)gi(cid:448)e(cid:374)/it is k(cid:374)o(cid:449)(cid:374) that(cid:863), (cid:449)he(cid:374) a(cid:374) e(cid:448)e(cid:374)t has alread(cid:455) o(cid:272)(cid:272)urred.

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