document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117343>Question 1117343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.<BR>\n" );
document.write( "Compute the probability of each of the following events:<BR>\n" );
document.write( "Event : The sum is greater than 7 .<BR>\n" );
document.write( "Event : The sum is not divisible by 3 and not divisible by 5.<BR>\n" );
document.write( "Write your answers as exact fractions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732396 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "There are 36 possible outcomes:\r<BR>\n" );
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document.write( "One way to make 2, two ways to make 3, ... 6 ways to make 7, 5 ways to make 8, and so on.\r<BR>\n" );
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document.write( "The results greater than 7 include 8, 9, 10, 11, and 12, all together, 5 plus 4 plus 3 plus 2 plus 1 = 15.  So there are 15 ways to get something larger than 7 out of 36 total outcomes.\r<BR>\n" );
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document.write( "2, 4, 5, 7, 8, 10, and 11 are not divisible by 3.  Of these, 5 and 10 are not divisible by 5.  1 way to make 2, 3 ways to make 4, 6 ways to make 7, 5 ways to make 8.  2 + 3 + 6 + 5 = 16 successful outcomes out of 36 total outcomes.\r<BR>\n" );
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document.write( "I'm going to presume that you know how to write a fraction and reduce it to lowest terms\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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