document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169254>Question 1169254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a large population, 68 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that at least one of them has been vaccinated? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793901 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=793901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the probability none were vaccinated, and subtract that from 1. Everything else is at least one.<BR>\n" );
document.write( "this probability is 0.32^3=0.032768=0.033<BR>\n" );
document.write( "the answer is 1-0.033 or 0.967\r<BR>\n" );
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document.write( "rough check 1/3 chance not vaccinated and 1/3 cubed is 1/27 so answer should be about 26/27=0.963 </SPAN>\n" );
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