document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=339739>Question 339739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. 	The probability that a person picked at random is over 65 years old is 0.12.  If two people are picked at random, find the probability that:<BR>\n" );
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document.write( "a. 	they are both over 65\r<BR>\n" );
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document.write( "b. 	neither is over 65\r<BR>\n" );
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document.write( "c. 	at least one is over 65<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 #243378 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=243378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3. The probability that a person picked at random is over 65 years old is 0.12. If two people are picked at random, find the probability that:\r<BR>\n" );
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document.write( "Let X=event that a person is over 65  <BR>\n" );
document.write( "Let Y=event that another person is over 65<BR>\n" );
document.write( "Let notX=event that person is under 65<BR>\n" );
document.write( "Let notY= event that another person is under 65 <BR>\n" );
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document.write( "a. they are both over 65 <BR>\n" );
document.write( "P(X and Y)=P(X)*P(Y)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.12%5E2=0.144 ALIGN=MIDDLE  ALT=\"0.12%5E2=0.144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "assuming X nd Y are independent<BR>\n" );
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document.write( "b. neither is over 65 <BR>\n" );
document.write( "P(notX and notY)=P(notX)*P(notY)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-0.12%29%5E2=0.774 ALIGN=MIDDLE  ALT=\"%281-0.12%29%5E2=0.774\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "assuming notX and notY are independent<BR>\n" );
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document.write( "c. at least one is over 65<BR>\n" );
document.write( "=1-P(neither is over 65)=1-0.774=0.226\r<BR>\n" );
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