document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266114>Question 266114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The American Automobile Association (AAA) reports that of the fatal car and truck accidents, 54% are caused by a car driver error. If 3 accidents are chosen at random, find the probability that:\r<BR>\n" );
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document.write( "a. All are caused by car driver error<BR>\n" );
document.write( "b. None are caused by car driver error<BR>\n" );
document.write( "c. At least 1 is caused by car driver error\r<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 #195546 by </B><A HREF=/tutors/aboutme.mpl?userid=roseo><B>roseo(33)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=roseo><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.  Because each accident is an independent event then the probability of 3 accidents being caused by driver error is .54(.54)(.54)=.157464<BR>\n" );
document.write( "b.  Because the probability of an accident is not caused by driver error would be 1-.54 or.46.  Therefore the probability of 3 accidents not caused by driver error would be (.46)(.46)(.46) =.097336<BR>\n" );
document.write( "c.When ever you have a probability question that says at least one then it is asking for the probility of the converse or 1-P(the opposite of the event) so you would need 1-P(that all three accidents were not caused by driver error) or 1-.097336 =.902664 </SPAN>\n" );
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