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PROBABILITY 531 The theory of probabilities is simply the Science of logicquantitatively treated. PEIRCE IntroductionIn earlier Classes, we have studied the probability as ameasure of uncertainty of events in a random discussed the axiomatic approach formulated byRussian Mathematician, Kolmogorov (1903-1987)and treated probability as a function of outcomes of theexperiment. We have also established equivalence betweenthe axiomatic theory and the classical theory of probabilityin case of equally likely outcomes. On the basis of thisrelationship, we obtained probabilities of events associatedwith discrete sample spaces. We have also studied theaddition rule of probability.

532 MATHEMATICS Since the coins are fair, we can assign the probability 1 8 to each sample point. Let E be the event ‘at least two heads appear’ and F …

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