document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=489142>Question 489142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me, i have submitted this question several times.<BR>\n" );
document.write( "susan forman has to purchase a box of cereal, a bottle dof soda, and a can of vegetables. the types of cereal, soda, and vegetable she is considering are below.<BR>\n" );
document.write( "cereal: rice krispies, frosted flakes, honeycomb<BR>\n" );
document.write( "soda:orange,black cherry, ginger ale.<BR>\n" );
document.write( "vegetables: peas, carrots.\r<BR>\n" );
document.write( "\n" );
document.write( "a)determine the number of points in the sample space.<BR>\n" );
document.write( "b)construct a tree diagram and determine the sample space. determine the probability that she selects:<BR>\n" );
document.write( "c) honeycomb for the cerel.<BR>\n" );
document.write( "d)rice krispies and ginger ale.<BR>\n" );
document.write( "e)a soda other than black cherry. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333576 by </B><A HREF=/tutors/aboutme.mpl?userid=chessace><B>chessace(471)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chessace><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=chessace><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=333576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first step is to count the options in each category:<BR>\n" );
document.write( "C: 3<BR>\n" );
document.write( "S: 3<BR>\n" );
document.write( "V: 2<BR>\n" );
document.write( "a) Points in sample space = product of these 3 independent choice counts: 3*3*2 = 18.<BR>\n" );
document.write( "b) From root of tree, 3 branches based on and labeled with a choice C.<BR>\n" );
document.write( "Each of those 3 branches have 3 more, labeled with choice of S.<BR>\n" );
document.write( "Each of those 9 branches have 2 more, labeled with choice of V.<BR>\n" );
document.write( "Each of these 18 (see \"a\") terminal nodes are labeled with the 3 selections that were made along the path from root.<BR>\n" );
document.write( "The total tree has 3 + 3*3 + 18 = 30 branches.<BR>\n" );
document.write( "[that's what I would do, maybe you are supposed to do it differently].<BR>\n" );
document.write( "Now the probabilies aren't known, so assume they are equal within categories.<BR>\n" );
document.write( "c) 1/3<BR>\n" );
document.write( "d) (1/3)*(1/3) = 1/9<BR>\n" );
document.write( "e) ((3-1)/3) = 2/3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );