document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199401>Question 1199401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a scratch off lottery ticket of 3 digits, (A) the chances of matching those digits is 1 in 1000.  Also, (B) the amount in a matching ticket is typically $500, meaning the state is making $500 for every thousand tickets.\r<BR>\n" );
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document.write( "How are (A) and (B) calculated ?\r<BR>\n" );
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document.write( "Not sure how to solve.\r<BR>\n" );
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document.write( "Note: I haven't purchased a scratch off ticket, so I am not familiar with them.  I am interested in the math.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833267 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</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=833267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "There is one of ten possible digits 0, 1, 2 ,3, 4, 5, 6, 7, 8, 9 in each of the 3 positions.\r<BR>\n" );
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document.write( "So, the probability to get match in any (in every) single of the three positions is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F10 ALIGN=MIDDLE  ALT=\"1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.1.\r<BR>\n" );
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document.write( "Therefore, the probability to get match in all three position simultaneously is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F10%29%2A%281%2F10%29%2A%281%2F10%29 ALIGN=MIDDLE  ALT=\"%281%2F10%29%2A%281%2F10%29%2A%281%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F10%29%5E3 ALIGN=MIDDLE  ALT=\"%281%2F10%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F1000 ALIGN=MIDDLE  ALT=\"1%2F1000\"   DISABLED_style= \"max-width:90%; height:auto;\" >, as stated.\r<BR>\n" );
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document.write( "Regarding the $500, it depends on the price of each ticket, which (the  price) is not given in your post.\r<BR>\n" );
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document.write( "THEREFORE, we problem is not complete to answer this question about $500.\r<BR>\n" );
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