document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551072>Question 551072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that A can solve a problem is 4/5, that B can solve it is 2/3 and that C can solve it is 3/7. If all of them try independently, find the probability that the problem will be solved.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "i believe the shortcut would be<BR>\n" );
document.write( "1 - P(a fails to solve)P(b fails to solve)P(c fails to solve) = 1 - (4/5)(2/3)(3/7) = 0.96\r<BR>\n" );
document.write( "\n" );
document.write( "however what i want to ask is the LONG version on how i can arrive at 0.96. \r<BR>\n" );
document.write( "\n" );
document.write( "thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359357 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=359357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "probability that problem will not be solved by anyone = (1-4/5)(1-2/3)(1-3/7)\r<BR>\n" );
document.write( "\n" );
document.write( "= 1/5 * 1/3 * 4/7 = 4/105\r<BR>\n" );
document.write( "\n" );
document.write( "probability that problem will be solved = 1 - 4/105 = 101/105 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );