document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122548>Question 1122548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two fair six-sided dice are rolled. <BR>\n" );
document.write( "What is the probability the sum of the numbers on the two dice is 5? <BR>\n" );
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document.write( "What is the probability the sum is 6?<BR>\n" );
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document.write( "What is the probability the sum is not 4? <BR>\n" );
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document.write( "What is the probability the sum is either 8 or 10? <BR>\n" );
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document.write( "What is the probability the sum is neither 9 nor 7? <BR>\n" );
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document.write( "Enter your answers as fractions in lowest terms.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738689 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 36(6^2) possible events in the sample space, they are<BR>\n" );
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document.write( "(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)<BR>\n" );
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document.write( "(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)<BR>\n" );
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document.write( "(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)<BR>\n" );
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document.write( "(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)<BR>\n" );
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document.write( "(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)<BR>\n" );
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document.write( "(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)<BR>\n" );
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document.write( "Probability(P) that the sum is 5, the following events satisfy this criteria<BR>\n" );
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document.write( "(1,4), (2,3), (3,2), (4,1)<BR>\n" );
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document.write( "P that the sum is 5 = 4/36 = 1/9<BR>\n" );
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document.write( "P that the sum is six<BR>\n" );
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document.write( "(1,5), (2,4), (3,3), (4,2), (5,1)<BR>\n" );
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document.write( "P that the sum is six = 5/36<BR>\n" );
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document.write( "P the sum is not four, first list the sums that are 4<BR>\n" );
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document.write( "(1,3), (2,2), (3,1)<BR>\n" );
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document.write( "P that the sum is not 4 = 1 -3/36 = 33/36 = 11/12<BR>\n" );
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document.write( "P that the sum is 8 or 10<BR>\n" );
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document.write( "(2,6), (3,5), (4,4), (5,3), (6,2), (4,6), (5,5), (6,4)<BR>\n" );
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document.write( "P that the sum is 8 or 10 = 8/36 = 2/9<BR>\n" );
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document.write( "P that the sum is neither 9 nor 7, first list the sums that are 9 or 7<BR>\n" );
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document.write( "(3,6), (4,5), (5,4), (6,3), (1,6), (2,5), (3,4), (4,3), (5,2), (6,3)<BR>\n" );
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document.write( "P that the sum is neither 9 nor 7 = 1 -10/36 = 26/36 = 13/18<BR>\n" );
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