document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180577>Question 180577</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780030923517/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1.)The blue cube show a multiple of 3, and the sum is 8.<BR>\n" );
document.write( ">>>P(blue multiple of 3)=2/6=1/3<BR>\n" );
document.write( ">>>P(sum is  8 | blue multiple of 3 ) =2/12=1/6<BR>\n" );
document.write( ">>>P(blue multiple of 3 and sum is 8)=<BR>\n" );
document.write( "P(blue multiple of 3)*P(sum is 8 | blue multiple of 3) = (1/3)*(1/6)=1/18<BR>\n" );
document.write( "My question: Do you know how 2/6 and 2/12 came from?<BR>\n" );
document.write( "Can you explain? <BR>\n" );
document.write( "Please answer me as soon as you could.<BR>\n" );
document.write( "Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135358 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=135358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.)The blue cube show a multiple of 3, and the sum is 8.<BR>\n" );
document.write( ">>>P(blue multiple of 3)=2/6=1/3<BR>\n" );
document.write( ">>>P(sum is 8 | blue multiple of 3 ) =2/12=1/6<BR>\n" );
document.write( ">>>P(blue multiple of 3 and sum is 8)=<BR>\n" );
document.write( "P(blue multiple of 3)*P(sum is 8 | blue multiple of 3) = (1/3)*(1/6)=1/18<BR>\n" );
document.write( "My question: Do you know how 2/6 and 2/12 came from?<BR>\n" );
document.write( "Can you explain? <BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Comment: If you list the sample space on this type of problem you<BR>\n" );
document.write( "can usually make the counts required to calculate the probabilities:<BR>\n" );
document.write( "Blue Cube: 1,2,3,4,5,6<BR>\n" );
document.write( "Multiples of 3 are 3 and 6 so number of those is 2.<BR>\n" );
document.write( "So, P(blue multiple of 3) = 2/6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Note: This is based on only throwing the blue die.<BR>\n" );
document.write( "If you are thowing a blue die and another die the <BR>\n" );
document.write( "Probability would be (# of pairs with blue 3 or 6)/(36) = 12/36= 1/3<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "Regarding (sum is 8|blue multiple of 3)<BR>\n" );
document.write( "Blue multiples of 3 are 3 and 6<BR>\n" );
document.write( "Pairs with that condition are (3,1),(3,2),(3,3)...(3,6)<BR>\n" );
document.write( "and (6,1),(6,2)...(6,6)<BR>\n" );
document.write( "Number of those is 12<BR>\n" );
document.write( "How many have a sum of 8?;;;only (3,5) and (6,2)<BR>\n" );
document.write( "Number of those is 2<BR>\n" );
document.write( "So, P(sum is 8 |blue multiple of 3) = 2/12 = 1/6<BR>\n" );
document.write( "=====================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------------------------------------------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );