document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126220>Question 126220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Carubas have a collection of 28 video movies, including 12 westerns and 16 science fiction.  Elise selects 3 of the movies at random to bring to a sleep-over at her friend's house, find the probability of:\r<BR>\n" );
document.write( "\n" );
document.write( "P(3 science fiction), P(2 westerns and 1 science fiction) and P(2 science fiction and 2 westerns). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92507 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=92507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Carubas have a collection of 28 video movies, including 12 westerns and 16 science fiction. Elise selects 3 of the movies at random to bring to a sleep-over at her friend's house, find the probability of: <BR>\n" );
document.write( "P(3 science fiction) = 16C3/28C3 = 0.1709..<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "P(2 westerns and 1 science fiction) = [12C2*16C1]/[28C3] = 0.3223...<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "P(2 science fiction and 2 westerns) = [16C2*12C2]/[28C4] = 0.3868...<BR>\n" );
document.write( "Comment: This last selection involves selecting 4 movies.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );