document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256053>Question 256053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 131 similar transistors of which 70 are satisfactory, 43 gives too high a gain under normal operating conditions and 18 gives too low gain. Determine the probability when drawing two resistors in turn at random with replacment of having<BR>\n" );
document.write( "(a) two satisfactory<BR>\n" );
document.write( "(b) none with low gain<BR>\n" );
document.write( "(c) one satisfactory and one with high gain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188212 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=188212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A box contains 131 similar transistors of which 70 are satisfactory, 43 gives too high a gain under normal operating conditions and 18 gives too low gain. Determine the probability when drawing two resistors in turn at random with replacment of having<BR>\n" );
document.write( "(a) two satisfactory<BR>\n" );
document.write( "P(2 good) = 70C2/131C2 = 2415/8515 = 0.2836..<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(b) none with low gain<BR>\n" );
document.write( "P(no low gain) = 113C2/131C2 = 6328/8515 = 0.7432..<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "(c) one satisfactory and one with high gain<BR>\n" );
document.write( "P(one high and one low) = 1-[P(2 good)+P(2 low)+P(2 high)]<BR>\n" );
document.write( "= 1 - [0.2836 + (1-0.7432)+ 43C2/131C2]<BR>\n" );
document.write( "= 0.6465<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );