document.write( "Question 1131618: During one month, a blood donation center found that
\n" ); document.write( "45.3% of the donors had the A antigen.
\n" ); document.write( "14.7% of the donors had the B antigen.
\n" ); document.write( "4.7% of the donors had the A antigen and the B antigen.
\n" ); document.write( "84.3% of the donors were Rh+.
\n" ); document.write( "87.5% of the donors had the B antigen or were Rh+.
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Algebra.Com's Answer #748869 by ikleyn(52784)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "(a)   Find the percent of donors that have the A antigen or the B antigen.\r
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document.write( "     The basic equality is  P(A or B) = P(A) + P(B) - P(A and B),  which gives\r\n" );
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document.write( "                            P(A or B) = 45.3% + 14.7% - 4.7% = 55.3%.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "(b)   Find the percent of donors that have the B antigen and are Rh+.\r
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document.write( "     The basic equality is  P(B or Rh+) = P(B) + P(Rh+) - P(B and Rh+),   which  implies\r\n" );
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document.write( "                            P(B and Rh+) = P(B) + P(Rh+) - P(B or Rh+),   or\r\n" );
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document.write( "                            P(B and Rh+) = 14.7% + 84.3% - 87.5% = 11.5%.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The lesson to learn from my post is THIS\r
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document.write( "    basic equality  for probability  is   P(A or B) = P(A) + P(B) - P(A and B).\r\n" );
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document.write( "    It is true for any sets of events  \" A \"  and  \" B \"  inside the universal set of events.\r\n" );
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