document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129029>Question 129029</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/013113941x/algebrahomeworkh>Fundamentals of Mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Use a diagram to list the sample space showing the possible arrangements of heads and tails when four coins are tossed. Then use the sample space to find the probability that\r<BR>\n" );
document.write( "\n" );
document.write( "a.  all four coins come up heads\r<BR>\n" );
document.write( "\n" );
document.write( "b. exactly two coins come up heads\r<BR>\n" );
document.write( "\n" );
document.write( "c. exactly three coins come up tails\r<BR>\n" );
document.write( "\n" );
document.write( "d.  at most two coins come up heads\r<BR>\n" );
document.write( "\n" );
document.write( "e.  at least two coins come up heads\r<BR>\n" );
document.write( "\n" );
document.write( "f. no more than three coins come up tails.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94370 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=94370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use a diagram to list the sample space showing the possible arrangements of heads and tails when four coins are tossed.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "There are 2^4=16 possible outcomes:<BR>\n" );
document.write( "4 heads----one way<BR>\n" );
document.write( "3 heads----4 ways<BR>\n" );
document.write( "2 heads----6 ways<BR>\n" );
document.write( "1 head-----4 ways<BR>\n" );
document.write( "0 heads----1 way<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Then use the sample space to find the probability that <BR>\n" );
document.write( "a. all four coins come up heads : 1/16<BR>\n" );
document.write( "b. exactly two coins come up heads : 6/16<BR>\n" );
document.write( "c. exactly three coins come up tails : 4/16<BR>\n" );
document.write( "d. at most two coins come up heads: (1 + 4 + 6)/16<BR>\n" );
document.write( "e. at least two coins come up heads: (6 + 4 + 1)/16 <BR>\n" );
document.write( "f. no more than three coins come up tails: 1 = (1/16) = 15/16<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" );