document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=341633>Question 341633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Heartless poker is played with a deck of cards in which all the hearts have been removed. Note that the deck now has 39 cards. Find the probability of getting a flush (five cards of the same suit) when drawing a five-card hand. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244665 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=244665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Heartless poker is played with a deck of cards in which all the hearts have been removed. Note that the deck now has 39 cards. Find the probability of getting a flush (five cards of the same suit) when drawing a five-card hand.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Pick a suit: 3 ways<BR>\n" );
document.write( "Pick 5 cards of that suit: 13C5 = 1287<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Pick 5 cards randomly = 575757<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "P(flush) = (3*1287)/575757 = 0.0067<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );