01:960:401 Lecture 4: Chapters 4-8 Lecture Notes

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*sample point most basic outcome of an experiment. *sample space (s) collection of all possible outcomes; depends on experimenter. *a standard deck of cards has 52 cards in total (13 of each suit, including jack, queen, and king) = n(n 1) (1): we do care about repetitions so we do include repetitions. The number of ways that n items can be arranged in order in x different ways with repetitions is npx : we do not care about repetitions so we do not include repetitions. *mutually exclusive when one outcome cannot occur because another outcome has already happened. *collectively exhaustive when we account for all possible outcomes in an experiment. *p(a or b) if a and b are mutually exclusive = p(a) + p(b) *p(a or b) if a and b are not mutually exclusive (meaning that they are independent) = *if p(a and b) = 0, then events a and b are mutually exclusive.

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