document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927362>Question 927362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You roll a fair die three times. What is the probability that <BR>\n" );
document.write( "a) you roll all 6's?<BR>\n" );
document.write( "b)you roll all odd numbers?<BR>\n" );
document.write( "c) none of your rolls gets a number divisible by 3?<BR>\n" );
document.write( "d) you roll at least one 5?<BR>\n" );
document.write( "e) the numbers you roll are not all 5's?\r<BR>\n" );
document.write( "\n" );
document.write( "For A, is the answer (1/216)? And is B, (1/8)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562931 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=562931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rolling a fair die 6 outcomes: 1,2,3,4,5,6<BR>\n" );
document.write( "rolling a fair die three times<BR>\n" );
document.write( "....<BR>\n" );
document.write( "P(all 6's) = (1/6)^3 = 1/216<BR>\n" );
document.write( ".....<BR>\n" );
document.write( "P(all odd numbers) = P( 1 0r 3 0r 5)= (1/2)^3 = 1/8<BR>\n" );
document.write( "...<BR>\n" );
document.write( "P(number divisible by 3) = P( 3 0r 6) = (1/3)^3 = 1/27<BR>\n" );
document.write( "........<BR>\n" );
document.write( "P(least one 5) = 1 - P( no 5's) = 1 - (5/6)^3 = 1 - .5787 = .4213<BR>\n" );
document.write( ".......<BR>\n" );
document.write( "P(numbers you roll are not all 5's)= 1 - P(all fives) = 1 - (1/6)^3 = 1 - 1/216 = 215/216<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );