document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120809>Question 1120809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two six sided dice are rolled.<BR>\n" );
document.write( "a. what is the probability of the event: sum more than 1<BR>\n" );
document.write( "b. what is the probability of the event: sum equal to 4 or sum greater than 11<BR>\n" );
document.write( "c. what is the probability of the event: sum is not equal to 7<BR>\n" );
document.write( "d. what is the probability of the event: the two dice show the same numbers when they land </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736548 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=736548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when two six-sided dice are rolled, there are 6^2 = 36 possible events<BR>\n" );
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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" );
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document.write( "a.  there are 36 events with sums > 1, probability(P) = 36/36 = 1<BR>\n" );
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document.write( "b.  the sums = 4 are (1,3), (2,2), (3,1), P = 3/36<BR>\n" );
document.write( "the sums > 11 are (6,6), P = 1/36<BR>\n" );
document.write( "P(sum is 4 or > 11) = 3/36 + 1/36 = 4/36 = 1/9<BR>\n" );
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document.write( "c.  sums = 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1), P = 6/36<BR>\n" );
document.write( "P(sum is not = 7) = 36/36 - 6/36 = 30/36 = 5/6<BR>\n" );
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document.write( "d.  dice show same numbers = (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), P = 6/36<BR>\n" );
document.write( "P( dice show same numbers) = 6/36 = 1/6<BR>\n" );
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document.write( " </SPAN>\n" );
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