document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601029>Question 601029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that the children of a certain couple will have red hair is 0.223. If the couple were to have five children, what is the probability that exactly two of them will have red hair? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379573 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=379573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(X = x) = (n C x)*(p)^(x)*(1-p)^(n-x)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(X = 2) = (5 C 2)*(0.223)^(2)*(1-0.223)^(5-2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(X = 2) = (5 C 2)*(0.223)^(2)*(0.777)^(5-2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(X = 2) = (10)*(0.223)^(2)*(0.777)^3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(X = 2) = (10)*(0.049729)*(0.469097433)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(X = 2) = 0.23327746245657\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the probability that exactly two of them will have red hair is approximately 0.233277 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );