document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191734>Question 1191734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> MAT 145: Topics In Contemporary Math<BR>\n" );
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document.write( "           More Probability\r<BR>\n" );
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document.write( "2) A poll was conducted among 250 residents of a certain city regarding tougher guncontrol laws.<BR>\n" );
document.write( "Own only a <BR>\n" );
document.write( "handgun<BR>\n" );
document.write( "Own only a <BR>\n" );
document.write( "rifle<BR>\n" );
document.write( "Own a <BR>\n" );
document.write( "handgun and <BR>\n" );
document.write( "a rifle<BR>\n" );
document.write( "Own neither Total<BR>\n" );
document.write( "Favor <BR>\n" );
document.write( "tougher <BR>\n" );
document.write( "control laws<BR>\n" );
document.write( "0 12 0 138 150<BR>\n" );
document.write( "Oppose <BR>\n" );
document.write( "tougher laws<BR>\n" );
document.write( "58 5 25 0 88<BR>\n" );
document.write( "No opinion 0 0 0 12 12<BR>\n" );
document.write( "Total 58 17 25 150 250<BR>\n" );
document.write( "If one of the participants in this poll is selected at random, what is the probability that they:<BR>\n" );
document.write( "a) Favors tougher gun control laws?<BR>\n" );
document.write( "b) Owns a handgun only?<BR>\n" );
document.write( "c) Owns a handgun?<BR>\n" );
document.write( "d) Favors tougher gun control laws and owns a handgun?<BR>\n" );
document.write( "e) Opposes tougher gun control laws and does not own a handgun?<BR>\n" );
document.write( "f) they own a rifle given they favor tougher gun control laws?<BR>\n" );
document.write( "g) favor tougher gun control laws given they own a rifle?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849108 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(2189)</B></A><img src=\"/images/stars/stars-13.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=849108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to calculate the probabilities:\r<BR>\n" );
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document.write( "* **Total participants:** 250\r<BR>\n" );
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document.write( "* **a) Favors tougher gun control laws:**<BR>\n" );
document.write( "   * Number who favor tougher laws: 150<BR>\n" );
document.write( "   * Probability: 150 / 250 = 0.6 or 60%\r<BR>\n" );
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document.write( "* **b) Owns a handgun only:**<BR>\n" );
document.write( "   * Number who own a handgun only: 58<BR>\n" );
document.write( "   * Probability: 58 / 250 = 0.232 or 23.2%\r<BR>\n" );
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document.write( "* **c) Owns a handgun:**<BR>\n" );
document.write( "   * Number who own a handgun (handgun only + handgun and rifle): 58 + 0 = 58<BR>\n" );
document.write( "   * Probability: 58 / 250 = 0.232 or 23.2%\r<BR>\n" );
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document.write( "* **d) Favors tougher gun control laws and owns a handgun:**<BR>\n" );
document.write( "   * Number who favor and own a handgun: 0<BR>\n" );
document.write( "   * Probability: 0 / 250 = 0\r<BR>\n" );
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document.write( "* **e) Opposes tougher gun control laws and does not own a handgun:**<BR>\n" );
document.write( "   * Number who oppose and don't own a handgun: 5 + 25 + 0 = 30 (Rifle only + Handgun and Rifle + Owns neither)<BR>\n" );
document.write( "   * Probability: 30 / 250 = 0.12 or 12%\r<BR>\n" );
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document.write( "* **f) Owns a rifle given they favor tougher gun control laws:**<BR>\n" );
document.write( "   * Number who own a rifle and favor tougher laws: 12<BR>\n" );
document.write( "   * Number who favor tougher laws: 150<BR>\n" );
document.write( "   * Conditional Probability: 12 / 150 = 0.08 or 8%\r<BR>\n" );
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document.write( "* **g) Favors tougher gun control laws given they own a rifle:**<BR>\n" );
document.write( "   * Number who own a rifle and favor tougher laws: 12<BR>\n" );
document.write( "   * Number who own a rifle: 12 + 5 + 25 = 42<BR>\n" );
document.write( "   * Conditional Probability: 12 / 42 ≈ 0.286 or 28.6%<BR>\n" );
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