Kindly explain this second para., i.e., from "In other words...." Use example to do so. Kindly explain this second para., i.e., from "In other words...." Use example to do so. sometimes there is a confusion between independent events and mutually exclusive events. Term 'independent' is defined in terms of 'probability of events' ereas mutually evlusive is defined in term of events (subset of sample space). Moreover, mutually exclusive events never have an outcome common, but independent events, may have common outcome. Clearly, 'independent' and 'mutually exclusive' do not have the same meaning. Inother words, two independent events having nonzero probabilities of occurrence can not be mutually exclusive, and conversely, i.e. two mutually exclusive events having nonzero probabilities of occurrence can not be independent. Share with your friends Share 0 Aarushi Mishra answered this Dear studentLet A and B be two mutually exclusive events with non-zero probability i.e.PA≠0PB≠0Therefore we have PAPB≠0Now if possible let A and B be independent as well as mutually exclusive eventsThen by definition of mutually exclusive events PA∩B=0By definition of indenpendent event PA∩B=PAPBTherefore PA∩B=PAPB=0But it is given that PAPB≠0This contradicts our asusumptionTherefore our assumption is wrongA and B cannot be mutually exclusive and independent togetherThus two mutually exclusive events having non-zero probability cannot be independentRegards 0 View Full Answer
