document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79900>Question 79900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number cube is rolled and two coins are tossed. Find the probability of the number on the cube being a 2 and both coins are heads.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57333 by </B><A HREF=/tutors/aboutme.mpl?userid=doctor_who><B>doctor_who(15)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doctor_who><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=57333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming the dice and coins to be fair (ie an equal probability of any outcome)<BR>\n" );
document.write( "Then just multiply the probabilities together.<BR>\n" );
document.write( "The chance of the cube rolling a 2 is one in 6<BR>\n" );
document.write( "The chance of the first coin being heads is one in 2<BR>\n" );
document.write( "The chance of the second coin also being heads is one in 2<BR>\n" );
document.write( "So the probability of all three happening is one in 6 X 2 X 2 =  one in 24.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Alternatively, you can express the probabilities as decimals and get the same answer :<BR>\n" );
document.write( "Probability of cube being 2 = 0.16666  (ie 1/6)<BR>\n" );
document.write( "Probability of first coin = 0.5<BR>\n" );
document.write( "Probability of second coin = 0.5<BR>\n" );
document.write( "Probability of all three happening = 0.1666 X 0.5 X 0.5 = 0.041666  (which is 1/24)<BR>\n" );
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