document.write( "Question 1008795: Of the 58 people who answered \"yes\" to a question, 10 were male.
\n" ); document.write( "Of the 95 people that answered \"no\" to the question, 6 were male.
\n" ); document.write( "If one person is selected at random from the group, what is the
\n" ); document.write( "probability that the person answered \"yes\" or was male? \n" ); document.write( "

Algebra.Com's Answer #624358 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "We make this chart:\r\n" );
document.write( "\r\n" );
document.write( "       | MALE |FEMALE|TOTALS|\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "YES    |      |      |      |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "NO     |      |      |      |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "TOTALS |      |      |      |\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "

\n" ); document.write( ">>Of the 58 people who answered \"yes\" to a question, 10 were male.
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\r\n" );
document.write( "So we put 58 in the TOTALS column of the YES, and 10 in the MALE\r\n" );
document.write( "column of the YES row:\r\n" );
document.write( "\r\n" );
document.write( "       | MALE |FEMALE|TOTALS|\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "YES    |  10  |      |  58  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "NO     |      |      |      |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "TOTALS |      |      |      |\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "

\n" ); document.write( "Of the 95 people that answered \"no\" to the question, 6 were male.
\n" ); document.write( "

\r\n" );
document.write( "So we put 95 in the TOTALS column of the NO row, and 6 in the MALE\r\n" );
document.write( "column of the NO row:\r\n" );
document.write( "\r\n" );
document.write( "       | MALE |FEMALE|TOTALS|\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "YES    |  10  |      |  58  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "NO     |   6  |      |  95  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "TOTALS |      |      |      |\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "\r\n" );
document.write( "Next we fill in the bottom right corner, the TOTALS row and the\r\n" );
document.write( "TOTALS column by adding 58+95, getting 153:\r\n" );
document.write( "\r\n" );
document.write( "       | MALE |FEMALE|TOTALS|\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "YES    |  10  |      |  58  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "NO     |   6  |      |  95  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "TOTALS |      |      | 153  |\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "\r\n" );
document.write( "Next we fill in the TOTAL MALES by adding 10+6, getting 16\r\n" );
document.write( "\r\n" );
document.write( "       | MALE |FEMALE|TOTALS|\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "YES    |  10  |      |  58  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "NO     |   6  |      |  95  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "TOTALS |  16  |      | 153  |\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "\r\n" );
document.write( "Next we fill in the FEMALES who said YES by subtracting 58-10=48,\r\n" );
document.write( "\r\n" );
document.write( "       | MALE |FEMALE|TOTALS|\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "YES    |  10  |  48  |  58  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "NO     |   6  |      |  95  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "TOTALS |  16  |      | 153  |\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "\r\n" );
document.write( "Next we fill in the FEMALES who said NO by subtracting 95-6=89,\r\n" );
document.write( "\r\n" );
document.write( "       | MALE |FEMALE|TOTALS|\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "YES    |  10  |  48  |  58  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "NO     |   6  |  89  |  95  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "TOTALS |  16  | 137  | 153  |\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "\r\n" );
document.write( "Now we fill in the TOTAL FEMALES two ways, \r\n" );
document.write( "(1) by adding 48+89=137, and also, as a check,\r\n" );
document.write( "by subtracting 153-16=137. \r\n" );
document.write( "

\n" ); document.write( "If one person is selected at random from the group, what is the
\n" ); document.write( "probability that the person answered \"yes\" or was male?
\n" ); document.write( "

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document.write( "The numerator is the number who said YES or was MALE.\r\n" );
document.write( "The ones that fit at least one of those categories are colored red:\r\n" );
document.write( "\r\n" );
document.write( "       | MALE |FEMALE|TOTALS|\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "YES    |  10  |  48  |  58  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "NO     |   6  |  89  |  95  |\r\n" );
document.write( "----------------------------|\r\n" );
document.write( "TOTALS |  16  | 137  | 153  |\r\n" );
document.write( "-----------------------------\r\n" );
document.write( "\r\n" );
document.write( "We add the red numbers: 10+48+6 = 64.  That's how many either\r\n" );
document.write( "said YES or were MALE.\r\n" );
document.write( "\r\n" );
document.write( "So the probability is 64 out of the total 153 in the lower right\r\n" );
document.write( "corner, 153, so the desired probability is 64/153.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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