document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=383806>Question 383806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please check my home work. My tree diagram would not paste correctly.<BR>\n" );
document.write( "Thank you.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur.\r<BR>\n" );
document.write( "\n" );
document.write( "Pet Shop A pet shop is selling a calico cat, a Siamese cat, a Persian cat, and a Himalayan cat. The Chens are going to select two cats to bring home as pets.<BR>\n" );
document.write( "	a) Determine the number of points in the sample space. <BR>\n" );
document.write( "	b) Construct a tree diagram and list the sample space. Determine the probability that they select <BR>\n" );
document.write( "	c) the Persian cat. <BR>\n" );
document.write( "	d) the Persian cat and the calico cat. <BR>\n" );
document.write( "	e) cats other than the Persian cat.<BR>\n" );
document.write( "	<BR>\n" );
document.write( "A.The first selection may be any one of the four cats. After the first cat is selected there are only three cats remaining. So 4*3, or 12, sample points in the sample space.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "                               <BR>\n" );
document.write( "C.	Determine the probability that they select the Persian cat. <BR>\n" );
document.write( "P (persian cat selected) = 6/12=1/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "D.	Determine the probability that they select the Persian cat and the calico cat. Two outcomes meets the criteria: CP  and PC<BR>\n" );
document.write( "P (persian and calico cat) =  2/12 = 1/6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "E.	Determine the probability cats other than the Persian cat. Six outcomes meets the criteria: CS, CH, SC, SH, HC, and HS.\r<BR>\n" );
document.write( "\n" );
document.write( "P (cats other than Persian cat) = 6/12 = 1/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271758 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=271758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) 6 points.<BR>\n" );
document.write( "(c,s)(c,p)(c,h)(s,p)(s,h)(p,h)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "C)3/6=1/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "D)1/6<BR>\n" );
document.write( "Note: (c,p) and (p,c) are not 2 different outcomes. They are the same outcome. We are not interested in the order in which the two are selected, only which two are selected.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "E) 3/6=1/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );