document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712634>Question 712634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The access code for a garage door consists of three digits. Each digit an be  0 through 9 and each digit can be repeated.<BR>\n" );
document.write( "a. Find the number of possible access codes.<BR>\n" );
document.write( "b. What is the probability of randomly selecting the correct access code?\r<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 #438089 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=438089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) There are 10^3 = <font color=\"red\">1000</font> different access codes.\r<BR>\n" );
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document.write( "b) The probability of selecting the correct access code is 1/1000 = <font color=\"red\">0.001</font> which is a 0.1% chance. The probability is small, but not small enough to make me safe (I would add more digits to make it safer). Basically, if 1000 people randomly picked a code to break in, then one would break in eventually. So if this is in a densely populated area, then the chances of break in would be much higher. This is why more digits are needed. </SPAN>\n" );
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