document.write( "Question 214730: The following probabilities are given for two events A and B: P(A)=1/4, P(B)=1/3, P(A|B)=1/2. Find P(A or B). \r
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document.write( "Could you show me how you arrived at solution so I can understand the process. Thank you for helping. \n" );
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Algebra.Com's Answer #162213 by stanbon(75887) ![]() You can put this solution on YOUR website! The following probabilities are given for two events A and B: P(A)=1/4, P(B)=1/3, P(A|B)=1/2. Find P(A or B). \n" ); document.write( "------------------------- \n" ); document.write( "Law: P(A or B) = P(A) + P(B) - P(A and B) \n" ); document.write( "--- \n" ); document.write( "Your Problem: \n" ); document.write( "P(A or B) = (1/4) + (1/3) - P(A and B) \n" ); document.write( "-- \n" ); document.write( "But P(A and B) = P(A|B)*P(B) \n" ); document.write( "So P(A and B) = (1/2)(1/3) = 1/6 \n" ); document.write( "-------------------------------------- \n" ); document.write( "Therefore P(A or B) = (1/4) + (1/3) - 1/6 \n" ); document.write( "--- \n" ); document.write( "lcd = 12 \n" ); document.write( "--- \n" ); document.write( "P(A or B) = [3 + 4 - 2]/12 = 5/12 \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |