document.write( "Question 1182924: A recent survey found that about 18.2% of Christians were Protestants, and
\n" ); document.write( "of those, 21.1% were left-handed. Right-handed people, however, make up
\n" ); document.write( "70.6% of the Catholics. Choose one Christian at random. Find the probability
\n" ); document.write( "that the Christian is a left-handed Catholic. \n" ); document.write( "
Algebra.Com's Answer #813052 by Edwin McCravy(20066)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Make this chart:\r\n" );
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document.write( "              Catholic|Protestant|Christians \r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( "Right-handed |        |          |\r\n" );
document.write( "-------------|--------|----------|----------  \r\n" );
document.write( "Left-handed  |        |          |\r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( " Total %     |        |          | 100%\r\n" );
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A recent survey found that about 18.2% of Christians were Protestants,
We fill in 18.2% for the total percent of Protestants.  Then we subtract\r\n" );
document.write( "that from 100% and fill in 81.8% for the total percent of Catholics.\r\n" );
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document.write( "              Catholic|Protestant|Christians\r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( "Right-handed |        |          |  \r\n" );
document.write( "-------------|--------|----------|----------  \r\n" );
document.write( "Left-handed  |        |          |\r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( " Total %     |  81.8% |  18.2%   | 100%\r\n" );
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document.write( "
and of those (Protestants), 21.1% were left-handed.
We take 21.1% of 18.2% and fill in 3.8402% for the\r\n" );
document.write( "total percent of left-handed Protestants. Then subtract\r\n" );
document.write( "that from 18.2% and fill in 14.3598% for the total % of\r\n" );
document.write( "Right-handed Protestants:\r\n" );
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document.write( "              Catholic|Protestant|Christians \r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( "Right-handed |        |14.3598%  |\r\n" );
document.write( "-------------|--------|----------|----------  \r\n" );
document.write( "Left-handed  |        | 3.8402%  |\r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( " Total %     |  81.8% |  18.2%   | 100%\r\n" );
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document.write( "
Right-handed people, however, make up 70.6% of the Catholics.
 We take 70.6% of 81.8% and fill in 57.7508% for the\r\n" );
document.write( "total percent of Right-handed Catholics. Then subtract\r\n" );
document.write( "that from 81.8% and fill in 24.0492% for the total % of\r\n" );
document.write( "Left-handed Catholics:\r\n" );
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document.write( "              Catholic|Protestant|Christians\r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( "Right-handed |57.7508%|14.3598%  |\r\n" );
document.write( "-------------|--------|----------|----------  \r\n" );
document.write( "Left-handed  |24.0492%| 3.8402%  |\r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( " Total %     |  81.8% |  18.2%   | 100%\r\n" );
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document.write( "Then we finish the table by adding the percentages of right-handed\r\n" );
document.write( "and left-handed Catholics and the percentages of right-handed\r\n" );
document.write( "and left-handed Catholics. We fill in the total percentages of Right-handed\r\n" );
document.write( "Christians as 72.1106% for Right-handed Christians and 27.8894% as\r\n" );
document.write( "the total percentages of Left-handed Christians.\r\n" );
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document.write( "              Catholic|Protestant|Christians\r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( "Right-handed |57.7508%|14.3598%  | 72.1106%\r\n" );
document.write( "-------------|--------|----------|----------  \r\n" );
document.write( "Left-handed  |24.0492%| 3.8402%  | 27.8894%\r\n" );
document.write( "-------------|--------|----------|----------\r\n" );
document.write( " Total %     |  81.8% |  18.2%   | 100%\r\n" );
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document.write( "We now check to see if we have done our calculations correctly by adding\r\n" );
document.write( "the percentages of right and left handed Christians to see if we get 100%.\r\n" );
document.write( "We do!\r\n" );
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Choose one Christian at random. Find the probability that the Christian is a
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We see that the probability is 24.0492%.\r\n" );
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document.write( "Edwin
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