document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=336667>Question 336667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each day, two out of the three teams in a class are randomly selected to participate in a MATHCOUNTS trial competition. What is the probability that Team A is selected on at least two of the next three days? Express your answer as a common fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241386 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=241386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each day, two out of the three teams in a class are randomly selected to participate in a MATHCOUNTS trial competition. What is the probability that Team A is selected on at least two of the next three days? Express your answer as a common fraction.<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "P(A is selected on a particular day) = 1-P(A is not selected)<BR>\n" );
document.write( "= 1-{[2C2]/[3C2]} <BR>\n" );
document.write( "= 1 - 1/3<BR>\n" );
document.write( "= 2/3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Then, p(2<= x <=3) = 1- binomcdf(3,2/3,1) = 0.7407 = 20/27<BR>\n" );
document.write( "==============================================================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );