document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891952>Question 891952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an unbiased coin is tossed six times. What is the probability that it will land heads:<BR>\n" );
document.write( "a) exactly three times?<BR>\n" );
document.write( "b) at most three times?<BR>\n" );
document.write( "c) on the first an and last toss? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540315 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=540315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 64 possible outcomes. <BR>\n" );
document.write( "0 heads - 1<BR>\n" );
document.write( "1 head - 6<BR>\n" );
document.write( "2 heads - 15<BR>\n" );
document.write( "3 heads - 20<BR>\n" );
document.write( "4 heads - 15<BR>\n" );
document.write( "5 heads - 6<BR>\n" );
document.write( "6 heads - 1<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283H%29=20%2F64=5%2F16 ALIGN=MIDDLE  ALT=\"P%283H%29=20%2F64=5%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=%281%2B6%2B15%2B20%29%2F64=42%2F64=21%2F32 ALIGN=MIDDLE  ALT=\"P=%281%2B6%2B15%2B20%29%2F64=42%2F64=21%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c) Of the 64, only half of them start with a head on the first toss. <BR>\n" );
document.write( "Of those 32, only half of them end with a head on the last toss.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=16%2F64=1%2F4 ALIGN=MIDDLE  ALT=\"P=16%2F64=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );