Calculating a particular probability based on some given probabilities., Exercises of Probability and Statistics

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Exercise: Let Aand B be events in a sample size § such that 1 1 P(A) = P(B) = 3 and P(A' NB) = 3 Find P(AUB’). Solution: P(AU B') = P(A) + P(B’) — P(ANB’) = sts Pt n B’). ” P(A U B') =1—-— P(AN B’).Now,we need the value of P(AN B'). As we know, PCB’) = P(B' nA) + PCB’ nA’). dol: 1 Hence, P(AN B') = P(B')-— PUA NB) = ars lay Therefore, P(AU B') =1—- Pe MR.OSAMA ABDULFATTAH ALSATTARI