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 #321935 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> N is the set of possible straight-flushes in hearts.<BR>\n" );
document.write( "We are assuming all cards are hearts.<BR>\n" );
document.write( "For the hand to be a straight all cards must be in consecutive order.<BR>\n" );
document.write( "A-2-3-4-5<BR>\n" );
document.write( "This is the lowest possible straight, the highest possible straight would yield a royal flush<BR>\n" );
document.write( "10-J-Q-K-A<BR>\n" );
document.write( "The number of cards from A to 10 is 10 cards<BR>\n" );
document.write( "Therefore there are only 10 possible straights with 5 hearts.<BR>\n" );
document.write( "10 outcomes in N\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );