document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550033>Question 550033</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? my act answer key got d but i don't know how so i could please explain it to me with work, then that would be great. Help is much appreciated, have a great day!\r<BR>\n" );
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document.write( "a.19/900<BR>\n" );
document.write( "b.81/100<BR>\n" );
document.write( "c.90/900<BR>\n" );
document.write( "d.171/900<BR>\n" );
document.write( "e.271/1000<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358359 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=358359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From 100 to 199, the following numbers have one zero in them\r<BR>\n" );
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document.write( "101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 120, 130, 140, 150, 160, 170, 180, 190, \r<BR>\n" );
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document.write( "There are 18 numbers listed above\r<BR>\n" );
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document.write( "And there are 9 copies of this similar pattern (just change the first digit; eg: 201, 202, ... is another set, 301, 302, ... is another and so on...)\r<BR>\n" );
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document.write( "So there are a total of 9*18 = 162 numbers from 100 to 999 that have one number in them\r<BR>\n" );
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document.write( "The following numbers have two zeros in them\r<BR>\n" );
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document.write( "100, 200, 300, 400, 500, 600, 700, 800, 900\r<BR>\n" );
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document.write( "and there are 9 numbers listed above\r<BR>\n" );
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document.write( "So there are a total of 162 + 9 = 171 numbers that have at least one zero\r<BR>\n" );
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document.write( "So the probability is 171/900 since there are 900 numbers from 100 to 999 (because 999-100+1 = 900)\r<BR>\n" );
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document.write( "So the answer is choice D </SPAN>\n" );
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