document.write( "Question 1192432: You are given the following data
\n" ); document.write( " Light smoker Smoker
\n" ); document.write( "Men 50 200
\n" ); document.write( "Women 60 10
\n" ); document.write( " Find the probability that a person selected is man or light smoker,,
\n" ); document.write( "Find the probability that a person selected is woman or light smoker,,\r
\n" ); document.write( "\n" ); document.write( " Find the probability that a person selected is a smoker man,,
\n" ); document.write( "If a man is selected Find the probability that he is a smoker?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #824310 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Finish the chart by putting in the totals in a new\r\n" );
document.write( "column on the right, and also in a new row on the\r\n" );
document.write( "bottom.  When you add correctly across and down, \r\n" );
document.write( "you should get the same number in the bottom\r\n" );
document.write( "right for both totals. In this case 320.\r\n" );
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document.write( "       ---------------------------------- \r\n" );
document.write( "       | Light smoker | Smoker | Totals |\r\n" );
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document.write( "Men    |      50      |  200   |  250   |  \r\n" );
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document.write( "Women  |      60      |   10   |   70   |\r\n" );
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document.write( "Totals |     110      |  210   |  320   |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "

Find the probability that a person selected is a man
\n" ); document.write( "or a light smoker,

\r\n" );
document.write( "I'll color red all the ones that are either a man or a light smoker:\r\n" );
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document.write( "       ---------------------------------- \r\n" );
document.write( "       | Light smoker | Smoker | Totals |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Men    |      50      |  200   |  250   |  \r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Women  |      60      |   10   |   70   |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Totals |     110      |  210   |  320   |\r\n" );
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document.write( "\r\n" );
document.write( "That's 50+200+60 = 310 out of 320, or 310/320,\r\n" );
document.write( "which reduces to 31/32.

\n" ); document.write( "Find the probability that a person selected is woman or light smoker,

\r\n" );
document.write( "\r\n" );
document.write( "       ---------------------------------- \r\n" );
document.write( "       | Light smoker | Smoker | Totals |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Men    |      50      |  200   |  250   |  \r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Women  |      10      |   60   |   70   |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Totals |     110      |  210   |  320   |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "That's 50+10+60 = 120 out of 320, or 120/320,\r\n" );
document.write( "which reduces to 3/8.

\n" ); document.write( "Find the probability that a person selected is a smoker man,

\r\n" );
document.write( "\r\n" );
document.write( "       ---------------------------------- \r\n" );
document.write( "       | Light smoker | Smoker | Totals |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Men    |      50      |  200   |  250   |  \r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Women  |      60      |   10   |   70   |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Totals |     110      |  210   |  320   |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "That's 200 out of 320, or 200/320,\r\n" );
document.write( "which reduces to 5/8.

\n" ); document.write( "If a man is selected Find the probability that he is a smoker?

\r\n" );
document.write( "This one is different because we are given that a man is selected.\r\n" );
document.write( "We were not given that in the others. So we eliminate the women\r\n" );
document.write( "and the total, for the total includes the women.\r\n" );
document.write( "\r\n" );
document.write( "       ---------------------------------- \r\n" );
document.write( "       | Light smoker | Smoker | Totals |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Men    |      50      |  200   |  250   |  \r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Women  |      60      |   10   |   70   |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "Totals |     110      |  210   |  320   |\r\n" );
document.write( "-----------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "So this is just the 200 out of the 250, or 200/250,\r\n" );
document.write( "which reduces to 4/5.\r\n" );
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document.write( "Edwin

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