document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193771>Question 1193771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evertight, a leading manufacturer of quality nails, <BR>\n" );
document.write( "produces 1-, 2-, 3-, 4-, and 5-inch nails for various <BR>\n" );
document.write( "uses. In the production process, if there is an overrun or the nails are slightly defective, they are placed <BR>\n" );
document.write( "in a common bin. Yesterday, 651 of the 1-inch nails, <BR>\n" );
document.write( "243 of the 2-inch nails, 41 of the 3-inch nails, 451 <BR>\n" );
document.write( "of the 4-inch nails, and 333 of the 5-inch nails were <BR>\n" );
document.write( "placed in the bin.<BR>\n" );
document.write( "(a) What is the probability of reaching into the bin <BR>\n" );
document.write( "and getting a 4-inch nail?<BR>\n" );
document.write( "(b) What is the probability of getting a 5-inch nail?<BR>\n" );
document.write( "(c) If a particular application requires a nail that is 3 <BR>\n" );
document.write( "inches or shorter, what is the probability of getting a nail that will satisfy the requirements of <BR>\n" );
document.write( "the application? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825815 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53764)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "In all cases, the probability is a fraction, whose denominator is the full number of nails in the bin.\r\n" );
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document.write( "In each case, the numerator of this fraction is the number of nails in the bin satisfying given description.\r\n" );
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document.write( "This hint is enough for you to complete the rest on your own.\r\n" );
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document.write( "For example, in case (a), the answer is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=451%2F%28651%2B243%2B41%2B451%2B333%29 ALIGN=MIDDLE  ALT=\"451%2F%28651%2B243%2B41%2B451%2B333%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "Make calculations and reduce the fraction if applicable.\r\n" );
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document.write( "And so on . . . Do other cases similarly . . . \r<BR>\n" );
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document.write( "Notice that the denominator is the same in all 3 cases: so, it should be calculated only once.\r<BR>\n" );
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document.write( "Happy calculations &nbsp;(&nbsp;!&nbsp;)\r<BR>\n" );
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