document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125822>Question 1125822</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Suppose that you flip a coin 12 times. What is the probability that you achieve at least 4 tails? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742170 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "# of ways of getting 0 tails: C(12,0) = 1<BR>\n" );
document.write( "# of ways of getting 1 tails: C(12,1) = 12<BR>\n" );
document.write( "# of ways of getting 2 tails: C(12,2) = 66<BR>\n" );
document.write( "# of ways of getting 3 tails: C(12,3) = 220<br><BR>\n" );
document.write( "# of ways of getting less than 4 tails: 1+2+66+220 = 299<br><BR>\n" );
document.write( "# of ways of getting at least 4 tails: 2^12 - 299 = 4096-299 = 3797<br><BR>\n" );
document.write( "Probability of getting at least 4 tails: 3797/4096 = 92.7%<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );