document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089626>Question 1089626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You roll two six-sided dice. What is the probability that the sum is odd or a multiple of 5? Round the answer to the nearest tenth of a percent. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703973 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You roll two six-sided dice. What is the probability that the sum is odd or a multiple of 5? Round the answer to the nearest tenth of a percent.\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "Let A = event that the sum is odd<BR>\n" );
document.write( "B = event that the sum is a multiple of 5<BR>\n" );
document.write( "A = {(1,2), (1,4), (1,6), (2, 1), (2,3), (2,5), (3,2), (3,4), (3,6), (4,1), (4,3), (4,5), (5,2), (5,4), (5,6), (6,1), (6,3), (6,5)}<BR>\n" );
document.write( "There are 18 elements in set A\r<BR>\n" );
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document.write( "B = {(1,4), (2,3), (3,2), (4,1), (4,6), (5,5), (6,4)}\r<BR>\n" );
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document.write( "There are 7 elements in set B\r<BR>\n" );
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document.write( "A AND B = {(1,4), (2,3), (3,2), (4,1)}<BR>\n" );
document.write( "There are 4 elements in set A AND B (intersection)\r<BR>\n" );
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document.write( "Since there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2 ALIGN=MIDDLE  ALT=\"6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 36 possible outcomes when two six-sided dice are rolled, then P(A) = 18/36, P(B) = 7/36, and P(A and B) = 4/36.\r<BR>\n" );
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document.write( "P(A OR B) = P(A) + P(B) - P(A and B)<BR>\n" );
document.write( "          = (18/36) + (7/36) - (4/36) = 21/36 or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2858.3%29 ALIGN=MIDDLE  ALT=\"highlight%2858.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > percent  </SPAN>\n" );
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