document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469239>Question 469239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question is: A poker deck consisting of 52 cards, representing 13 denomination and 4 suits.  A 5 card hand is called a flush if all cards are the same suit but not all 5 denominations are consecutive.  You have drawn a 2 of hearts,3 of hearts, 7 of hearts, jack of hearts and a queen of hearts.  Let N be the set of 5 cards in hearts that are not flushes.  How many outcomes are in N?<BR>\n" );
document.write( "I am assuming we need to find the probability of having a flush in hearts.<BR>\n" );
document.write( "Card 1: .25, card 2:.24, card 3: .22, card 4: .20 and card 5: .19.<BR>\n" );
document.write( ".25*.24*.22*.20*.19=.0005016<BR>\n" );
document.write( "I don't know my next steps. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321932 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=321932\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let N be the set of 5 cards in hearts that are not flushes. <BR>\n" );
document.write( "The set N is called a straight flush. They beat any other poker hand including a flush.<BR>\n" );
document.write( "There are 10 possible straight flushes in a suit A2345 to TJQKA.<BR>\n" );
document.write( "There are 4 different suits.<BR>\n" );
document.write( "10C1 * 4C1 = 40 possible straight flushes.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );