document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191812>Question 1191812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer purchases two machines A and B. The probability that A will last 5 years is 4/5<BR>\n" );
document.write( "and the probability that B will last 5 years is 3/4.<BR>\n" );
document.write( "Find the probability that:<BR>\n" );
document.write( "1)both machines will last 5 years<BR>\n" );
document.write( "2)only machine a will last 5 years <BR>\n" );
document.write( "3) at least one of the machine will last 5 years  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823657 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=823657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. is the product if they are independent. That is (4/5)(3/4))=3/5<BR>\n" );
document.write( "-<BR>\n" );
document.write( "b. That is (4/5)(1/4)=1/5, the (1/4) is probability B does not last 5 years.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "c. At least one will last 5 years is 1- prob (both don't)<BR>\n" );
document.write( "=1-(1/5)(1/4)<BR>\n" );
document.write( "=19/20 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );