document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256025>Question 256025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An integer from 100 through 999, inclusive, is to be chosen at random. What is the probability that the number chosen will have 0 as at least 1 digit?\r<BR>\n" );
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document.write( "a)  19/900    b) 81/900    c) 90/900    d)  171/900    e) 271/900 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188168 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=188168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FIrst we have to find the total number of integers in the set: 999-100+1 = 900.<BR>\n" );
document.write( "Next we need an organized way to determine our successful options: 0 in at least 1 digit.<BR>\n" );
document.write( "0 in 3 digits: <BR>\n" );
document.write( "0<BR>\n" );
document.write( "0 in 2 digits: <BR>\n" );
document.write( "100, 200, 300, 400, 500, 600, 700, 800, 900 = 9<BR>\n" );
document.write( "0 in 1 digit: <BR>\n" );
document.write( "101 - 110, 120, 130, 140, . . ., 190: 18<BR>\n" );
document.write( "201 - 210, 220, 230, 240, . . ., 290: 18<BR>\n" );
document.write( ". . .<BR>\n" );
document.write( "901-910, 920, 930, 940, . . . 990: 18<BR>\n" );
document.write( "or 18*9 = 162<BR>\n" );
document.write( "Now 0 +9 + 162 = 171<BR>\n" );
document.write( "So the probability is<BR>\n" );
document.write( "171/900 = 19/100 </SPAN>\n" );
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