3. [5 pts] Suppose A and A2 are disjoint. Prove that

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3. [5 pts] Suppose A and A2 are disjoint. Prove that

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Using addition theorem of probability and conditional probability, we prove the P(A_1 cup A_2|B)=P(A_1|B)+P(A_2|B) PCAS)- PCA) uhere S is sample space Forconditiamal pmhahility with reftrence tn a Suhset B of the sample apace ue replace Sby expression get AutAL&Ai are disioint Hence tha proaf

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