document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084318>Question 1084318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An ordinary (fair) die is a cube with the numbers <BR>\n" );
document.write( "1<BR>\n" );
document.write( " through <BR>\n" );
document.write( "6<BR>\n" );
document.write( " 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 <BR>\n" );
document.write( "A<BR>\n" );
document.write( ": The sum is greater than <BR>\n" );
document.write( "9<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Event <BR>\n" );
document.write( "B<BR>\n" );
document.write( ": The sum is divisible by <BR>\n" );
document.write( "2<BR>\n" );
document.write( ".<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 #698416 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=698416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 6 * 6 = 36 possible events<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)<BR>\n" );
document.write( "(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)<BR>\n" );
document.write( "(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)<BR>\n" );
document.write( "(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)<BR>\n" );
document.write( "(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)<BR>\n" );
document.write( "(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A.  Sum is > 9<BR>\n" );
document.write( "(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)<BR>\n" );
document.write( "There are 6 events whose sum is > 9<BR>\n" );
document.write( "Probability(P) sum is > 9 = 6/36 = 1/6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B.  sum is divisible by 2<BR>\n" );
document.write( "There are 36/2 = 18 events whose sum is divisible by 2<BR>\n" );
document.write( "P sum is divisible by 2 is 18/36 = 1/2<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );