document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197440>Question 1197440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a gambling game where equal-weight balls with numbers ranging from 1 to 15 are placed inside a tambiolo and mixed. Without replacement, three balls are chosen at random and are then chosen one by one.\r<BR>\n" );
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document.write( "a. Mr. Lewis always bets that none of the 3 balls will include consecutive digits in the outcome. How likely is it that something will occur?\r<BR>\n" );
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document.write( "b. As long as he wins 9 bets, Mr. Lewis will have enough money to continue playing the game. What is the chance that he will only place a total of 12 bets? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830815 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52776)</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=830815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "I will not solve anything in this problem.\r<BR>\n" );
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document.write( "I only will make necessary editing to exclude explicit deficiencies.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "    There is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28gambling%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28gambling%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > game where equal-weight balls with numbers ranging from 1 to 15 are placed \r\n" );
document.write( "    inside a tambiolo and mixed. Without replacement, three balls <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28are_chosen_at_random_and_are_then%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28are_chosen_at_random_and_are_then%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > are randomly chosen one by one.\r\n" );
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document.write( "    a. Mr. Lewis always bets that none of the 3 balls will include consecutive <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28digits%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28digits%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <U>numbers</U> in the outcome. \r\n" );
document.write( "       How likely is it that something will occur?\r\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This editing in &nbsp;NECESSARY: &nbsp;otherwise, &nbsp;this wording does not fit into any gate.\r<BR>\n" );
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document.write( "Also, &nbsp;the meaning of the question &nbsp;\" How likely is it that something will occur? \" &nbsp;is unclear.\r<BR>\n" );
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document.write( "What exactly &nbsp;\" will occur \" ? &nbsp;&nbsp;What is &nbsp;\" something \" &nbsp;in this question ?\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3 balls with consecutive numbers will occur or an opposite case ?\r<BR>\n" );
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document.write( "Edwin calculated the probability that consecutive numbers do not occur;\r<BR>\n" );
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document.write( "but the question can be interpreted as &nbsp;\" find the probability that consecutive numbers will occur \".\r<BR>\n" );
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document.write( "So, &nbsp;the meaning of your question is dark.\r<BR>\n" );
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document.write( "This post is a champion among other posts coming to the forum&nbsp;: &nbsp;&nbsp;the question can be read, &nbsp;interpreted and understood in two opposite ways.\r<BR>\n" );
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document.write( "Please show my notes to your professor and discuss them with him (with her).\r<BR>\n" );
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document.write( "If you personally know the person who created this post, &nbsp;then please pass to him (or to her) my opinion \r<BR>\n" );
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document.write( "that such writing is &nbsp;NOT &nbsp;ALLOWED &nbsp;in Math.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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