document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275515>Question 275515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you draw 4 cards from a standard deck (52 cards), what is the probability that you get a two, a four, a six, and an eight (in any order)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200934 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=200934\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are 4 twos in the deck.<BR>\n" );
document.write( "there are 4 fours in the deck.<BR>\n" );
document.write( "there are 4 sixes in the deck.<BR>\n" );
document.write( "there are 4 eights in the deck.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the probability that you will draw a two and then a four and then a six and then an eight would be 4/52 * 4/51 * 4/50 * 4/49 = (4*4*4*4)/(52*51*50*49) = .0000394.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this can happen in 4*3*2*1 ways = 24 ways.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the probability is 24 * .0000394 = .000945609\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's how it would look.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "each draw can happen in a certain order:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that order is shown below;\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "example:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2468 means a 2 is drawn first, then a 4, then a 6, then an 8.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's a list of the possible order of draws.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2468<BR>\n" );
document.write( "2486<BR>\n" );
document.write( "2648<BR>\n" );
document.write( "2684<BR>\n" );
document.write( "2846<BR>\n" );
document.write( "2864\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4268<BR>\n" );
document.write( "4286<BR>\n" );
document.write( "4628<BR>\n" );
document.write( "4682<BR>\n" );
document.write( "4826<BR>\n" );
document.write( "4862\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "6248<BR>\n" );
document.write( "6284<BR>\n" );
document.write( "6428<BR>\n" );
document.write( "6482<BR>\n" );
document.write( "6824<BR>\n" );
document.write( "6842\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8246<BR>\n" );
document.write( "8264<BR>\n" );
document.write( "8426<BR>\n" );
document.write( "8462<BR>\n" );
document.write( "8624<BR>\n" );
document.write( "8642\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "each one of these draws is totally independent of the other.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the probability for any one of these draws is the same.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that probability = (4*4*4*4)/(52*51*50*49)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "total probability is 24 * (4*4*4*4)/(52*51*50*49) = 24 * .0000394 = .000945609\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( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );