document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=527472>Question 527472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event. <BR>\n" );
document.write( "(a) The sum of the numbers is either 7 or 11. <BR>\n" );
document.write( "(b) One die shows a 6, and the other is a number less than 4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348919 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=348919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event.<BR>\n" );
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document.write( "For these dice problems you should sketch a sample space for yourself.<BR>\n" );
document.write( "The sample space is a 6 by 6 rectangle with the sums of pairs as entries.<BR>\n" );
document.write( "It looks like:<BR>\n" );
document.write( "2,3,4,5,6,7<BR>\n" );
document.write( "3,4,5,6,7,8<BR>\n" );
document.write( "4,5,6,7,8,9<BR>\n" );
document.write( "....<BR>\n" );
document.write( "....<BR>\n" );
document.write( "7,8,9,10,11,12<BR>\n" );
document.write( "=========================== <BR>\n" );
document.write( "(a) The sum of the numbers is either 7 or 11.<BR>\n" );
document.write( "# of ways to succeed: 6+2 = 8<BR>\n" );
document.write( "Ans: 8/36 = 2/9<BR>\n" );
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document.write( " <BR>\n" );
document.write( "(b) One die shows a 6, and the other is a number less than 4.<BR>\n" );
document.write( "# of ways to succeed: 3<BR>\n" );
document.write( "Ans: 3/36 = 1/12<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );