document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192373>Question 1192373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are given the following data <BR>\n" );
document.write( " Light smoker Smoker <BR>\n" );
document.write( "Men 50 200 <BR>\n" );
document.write( "Women 60 10 <BR>\n" );
document.write( " Find the probability that a person selected is man or light smoker,,  <BR>\n" );
document.write( "Find the probability that a person selected is woman or light smoker,,<BR>\n" );
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document.write( " Find the probability that a person selected is a smoker man,, <BR>\n" );
document.write( "If a man is selected Find the probability that he is a smoker? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849002 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **1. Calculate Total Individuals**\r<BR>\n" );
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document.write( "* Total individuals = (Men: Light Smokers + Smokers) + (Women: Light Smokers + Smokers) <BR>\n" );
document.write( "* Total individuals = (50 + 200) + (60 + 10) = 320\r<BR>\n" );
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document.write( "**2. Probability of Man or Light Smoker**\r<BR>\n" );
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document.write( "* **Find the number of individuals who are either men or light smokers:**<BR>\n" );
document.write( "    * Men: 50 (light smokers) + 200 (smokers) = 250 <BR>\n" );
document.write( "    * Women: 60 (light smokers) <BR>\n" );
document.write( "    * Total: 250 (men) + 60 (light smoker women) = 310\r<BR>\n" );
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document.write( "* **Probability:** 310 / 320 = **0.96875**\r<BR>\n" );
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document.write( "**3. Probability of Woman or Light Smoker**\r<BR>\n" );
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document.write( "* **Find the number of individuals who are either women or light smokers:**<BR>\n" );
document.write( "    * Women: 60 (light smokers) + 10 (smokers) = 70 <BR>\n" );
document.write( "    * Men: 50 (light smokers)<BR>\n" );
document.write( "    * Total: 70 (women) + 50 (light smoker men) = 120\r<BR>\n" );
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document.write( "* **Probability:** 120 / 320 = **0.375**\r<BR>\n" );
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document.write( "**4. Probability of Smoker Man**\r<BR>\n" );
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document.write( "* **Number of smoker men:** 200<BR>\n" );
document.write( "* **Probability:** 200 / 320 = **0.625**\r<BR>\n" );
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document.write( "**5. Probability of Smoker Given Man**\r<BR>\n" );
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document.write( "* **Probability of being a man:** (50 + 200) / 320 = 250 / 320 = 0.78125<BR>\n" );
document.write( "* **Probability of being a smoker given that the person is a man:** <BR>\n" );
document.write( "    * (Number of smoker men) / (Total number of men) <BR>\n" );
document.write( "    * 200 / 250 = **0.8** \r<BR>\n" );
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document.write( "**Summary**\r<BR>\n" );
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document.write( "* Probability of man or light smoker: 0.96875<BR>\n" );
document.write( "* Probability of woman or light smoker: 0.375<BR>\n" );
document.write( "* Probability of smoker man: 0.625<BR>\n" );
document.write( "* Probability of smoker given man: 0.8<BR>\n" );
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