document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190900>Question 1190900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you have a barrel with 5 apples and 8 oranges in it. If 3 fruits are selected, what is the probability you select exactly 2 apples? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822633 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) Solving by an elementary method -- which is useful for gaining an understanding of basic probability....<br><BR>\n" );
document.write( "P(apple,apple,orange) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F13%29%284%2F12%29%288%2F11%29+=+160%2F1716 ALIGN=MIDDLE  ALT=\"%285%2F13%29%284%2F12%29%288%2F11%29+=+160%2F1716\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(apple,orange,apple) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F13%29%288%2F12%29%284%2F11%29+=+160%2F1716 ALIGN=MIDDLE  ALT=\"%285%2F13%29%288%2F12%29%284%2F11%29+=+160%2F1716\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(orange,apple,apple) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F13%29%285%2F12%29%284%2F11%29+=+160%2F1716 ALIGN=MIDDLE  ALT=\"%288%2F13%29%285%2F12%29%284%2F11%29+=+160%2F1716\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "P(2 apples and 1 orange) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2F1716+=+40%2F143 ALIGN=MIDDLE  ALT=\"480%2F1716+=+40%2F143\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) Solving by a more sophisticated method of combinatorics....<br><BR>\n" );
document.write( "The good outcomes are when you choose 2 of the 5 apples and 1 of the 8 oranges; the total number of possibilities is when you choose any 3 of the 13 fruits.<br><BR>\n" );
document.write( "P(2 apples and 1 orange) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%285%2C2%29%2AC%288%2C1%29%29%2FC%2813%2C3%29+=+%2810%2A8%29%2F286+=+80%2F286+=+40%2F143 ALIGN=MIDDLE  ALT=\"%28C%285%2C2%29%2AC%288%2C1%29%29%2FC%2813%2C3%29+=+%2810%2A8%29%2F286+=+80%2F286+=+40%2F143\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );