document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=614354>Question 614354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Find the requested probabilities. (Use a calculator and give the answer to five decimal places.) <BR>\n" );
document.write( "Royal Flush is 4 hands<BR>\n" );
document.write( "Other straight flush is 36 hands<BR>\n" );
document.write( "Four of a kind is 624 hands<BR>\n" );
document.write( "Full house is 3,744 hands<BR>\n" );
document.write( "Flush is 5,108 hands<BR>\n" );
document.write( "Straight is 10,200 hands<BR>\n" );
document.write( "Three of a kind is 54,912 hands<BR>\n" );
document.write( "Two pair is 123,552 hands<BR>\n" );
document.write( "One pair is 1,098,240 hands<BR>\n" );
document.write( "Other hands is 1,302,540 hands<BR>\n" );
document.write( "(1) What are the chances of being dealt a full house or better? <BR>\n" );
document.write( "(2) What are the chances of being dealt a hand that will lose to a flush? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #386511 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=386511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)<BR>\n" );
document.write( "(4+36+624+3744)/2598960<BR>\n" );
document.write( "=.00170<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2)<BR>\n" );
document.write( "(1302540+1098240+123552+54912+10200)/2598960<BR>\n" );
document.write( "=.99634<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );