Biology 2244A/B Chapter Notes - Chapter 10: Melanoma, Carport

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Independence: the outcome of the first event cannot influence the outcome of the second event. Multiplication rule for independent events: events a and b are independent, if one occurs it doesn"t change the probability of the other one occurring. If this condition is not satisfied, events a and b are dependent. Disjointness and independence are not the same. If a and b are disjoint, then the fact that a occurs tells us that b cannot occur. So disjoint events are not independent; disjoint events are dependent. When p(a) > 0, the conditional probability of b, given a,is. The probability of one event occurring given that another event has already occurred. P( a l b ) is the probability of event a given that event b has occurred. Example: recent estimates say that 66% of u. s. homes have a garage or carport, 10% have a swimming pool, and 8% have both. Answer: we want the conditional probability p(garage | pool).

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