document.write( "Question 1172393: If A and B are two events such that P(A) = 0.7 and P(B) = 0.5 and P((A u B)') = 0.1. Find P(A\B). [Note Here (A u B)' means complement of A union B] \n" ); document.write( "

Algebra.Com's Answer #797452 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "This problem is to be solved in 3 (three) steps.\r
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document.write( "    (1)  From  P(A U B)') = 0.1  we have  P(A U B) = 1 - 0.1 = 0.9.\r\n" );
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document.write( "    (2)  From  P(A U B) = P(A) + P(B) - P(A and B)   we have\r\n" );
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document.write( "                  0.9   = 0.7  + 0.5  - P(A and B),  which implies\r\n" );
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document.write( "                  P(A and B) = 0.7 + 0.5 - 0.9 = 0.3.\r\n" );
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document.write( "    (3)  Having P(A and B)  just found,  we obtain for the conditional probability\r\n" );
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document.write( "             P( A | B ) =   =  =  = 0.6.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved step by step and explained in all details.\r
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\n" ); document.write( "\n" ); document.write( "In this site, there are two lessons for problems on conditional probability. They are\r
\n" ); document.write( "\n" ); document.write( "    - Conditional probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Conditional probability problems REVISITED \r
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\n" ); document.write( "\n" ); document.write( "Read them to develop your skills and knowledge.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Solved problems on Probability\"
\n" ); document.write( "and \"Additional problems on Probability\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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