document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380034>Question 380034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the (theoretical) probability of the given event, assuming that the coins are distinguishable and fair, and that what is observed are the faces uppermost.<BR>\n" );
document.write( "Six coins are tossed; the result is at most one head.<BR>\n" );
document.write( "1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #269740 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=269740\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the (theoretical) probability of the given event, assuming that the coins are distinguishable and fair, and that what is observed are the faces uppermost.<BR>\n" );
document.write( "Six coins are tossed; the result is at most one head.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Binomial Problem:<BR>\n" );
document.write( "n = 6 and p = 1/2<BR>\n" );
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document.write( "P(0<= x <=1) = 6C0(1/2)^0(1/2)^6 + 6C1(1/2)^1(1/2)^5<BR>\n" );
document.write( "= (1/2)^6 + 6(1/2)^6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 7(1/2)^6<BR>\n" );
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document.write( "= 7/64<BR>\n" );
document.write( "====<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------- <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );