document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=723992>Question 723992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with an explanation!!!<BR>\n" );
document.write( "Roll a pair of dice. Find the probability of getting either a sum of 7 or atleast one 5. <BR>\n" );
document.write( "For the sum of 7, I got 1/6.<BR>\n" );
document.write( "For the atleast one 5, I got 11/36.<BR>\n" );
document.write( "Here is where I get lost, The probability of (sum of 7 AND atleast one 5) = 1/18.<BR>\n" );
document.write( "Explain where the 1/18 comes from so I can understand the remaining problems, and how to solve them. Thank you dearly </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443509 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=443509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Roll a pair of dice. <BR>\n" );
document.write( "Find the probability of getting either a sum of 7 or atleast one 5. <BR>\n" );
document.write( "For the sum of 7, I got 6/36.<BR>\n" );
document.write( "For the at least one 5, I got 11/36.<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( " The probability of (sum of 7 AND atleast one 5) = 1/18.<BR>\n" );
document.write( "Explain where the 1/18 comes from so I can understand the remaining problems, and how to solve them.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "P(sum of 7 AND at least one 5) = P(sum of 7) + P(at least one 5)<BR>\n" );
document.write( "- P(sum of 7 OR at least one 5)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= (6/36) + (11/36) - (15/36) = (2/36) = 1/18<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Note: The 15/36 comes from 6 where 5 is 1st ; 6 where 5 is 2nd ;<BR>\n" );
document.write( "6 where the sum is 7 ; and 3 that satisfy 2 conditions and have<BR>\n" );
document.write( "been counted twice:  6+6+6-3 = 15<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );