document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394742>Question 394742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A computer program is tested by 3 independent tests. When there is an error, these<BR>\n" );
document.write( "tests will discover it with probabilities 0.2, 0.3, and 0.5, respectively. Suppose that the program<BR>\n" );
document.write( "contains an error. What is the probability that it will be found by at least one test? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280094 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=280094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let A =error found by test 1<BR>\n" );
document.write( "let B=error found by test 2<BR>\n" );
document.write( "let C=error found by test 3<BR>\n" );
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document.write( "Given P(A)=0.2, P(B)=0.3, P(C)=0.5<BR>\n" );
document.write( "therefore P(notA)=0.8, P(notB)=0.7, P(notC)=0.5<BR>\n" );
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document.write( "Note: tests are independent P(notA & notB & notC)=P(notA)*P(notB)*P(notC)=0.8*0.7*0.5=0.28<BR>\n" );
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document.write( "P(found by at least one test)= 1- P(not found by any test)=1-P(notA & notB & notC)=1-0.28=0.82\r<BR>\n" );
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document.write( " </SPAN>\n" );
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