SOCSCI 2J03 Lecture 12: SOCSCI 2J03 Lecture 12 – Mutually Exclusive Events
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Are events a and c mutually exclusive: only a & b are mutually exclusive. Events a and b have no common element. For one roll of a die, only one of the two events a and b can happen. Events a and c have two common outcomes: 2-spot and 4-spot. Thus, if we roll a die and obtain either a 2-spot or a 4-spot, then a and c happen at the same time. Hence, events a and c are not mutually exclusive. (mann, 2016) Independent events: if the occurrence of one of 2 events does not affect the probability of the occurrence of the other, ex. A and b are independent events if either p(a | b) = p(a) or p(b | a) = p(b) Example 2: 500 randomly selected adults who drink coffee were asked whether they usually drink coffee with or without sugar: (mann, 2016)