document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145654>Question 1145654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.1 A fair die is rolled twice. Find the probability of the following events: <BR>\n" );
document.write( "a. The second number is twice the first <BR>\n" );
document.write( "b. The second number is not greater than the first <BR>\n" );
document.write( "c. At least one number is greater than <BR>\n" );
document.write( "3. 1.2 Two distinct diceAand Barerolled. Whatis the probabilityofeachofthe following events?<BR>\n" );
document.write( " a. At least one 4 appears<BR>\n" );
document.write( " b. Just one 4 appears<BR>\n" );
document.write( " c. The sum of the face values is 7 <BR>\n" );
document.write( "d. One of the values is 3 and the sum of the two values is 5 <BR>\n" );
document.write( "e. One of the values is 3 or the sum of the two values is 5<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 #766887 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52847)</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=766887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;One and only one problem per post.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is THE RULE of this forum.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Those who violate it, &nbsp;work &nbsp;AGAINST &nbsp;their own interests.\r<BR>\n" );
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document.write( "(a)  In all, there are 6*6 = 36 possible outcomes, with equal probability <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%2A%281%2F6%29 ALIGN=MIDDLE  ALT=\"%281%2F6%29%2A%281%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F36 ALIGN=MIDDLE  ALT=\"1%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > each.\r\n" );
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document.write( "     The favorable outcomes are (1,2), (2,4), and (3,6). In all, there are 3 favorable outcomes.\r\n" );
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document.write( "      Therefore, the answer is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F36 ALIGN=MIDDLE  ALT=\"3%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   \r\n" );
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document.write( "(b)  The favorable outcomes are (1,1), \r\n" );
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document.write( "                                (2,1), (2,2)\r\n" );
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document.write( "                                (3,1), (3,2), (3,3)\r\n" );
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document.write( "                                . . . . . . . . . . . . \r\n" );
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document.write( "                                (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)\r\n" );
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document.write( "     In all, there are  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2A5%29%2F2 ALIGN=MIDDLE  ALT=\"%286%2A5%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 6 = 15 + 6 = 21 favorable outcomes.\r\n" );
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document.write( "     Therefore, the answer in this case is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F36 ALIGN=MIDDLE  ALT=\"21%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F12 ALIGN=MIDDLE  ALT=\"7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "(c)  What your \"c\" means, is totally unclear.\r\n" );
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document.write( "If you want to learn this subject, &nbsp;look into the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Rolling-a-pair-of-fair-dice.lesson>Rolling a pair of fair dice</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "After reading it, &nbsp;you will become an expert in the area.\r<BR>\n" );
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