document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766655>Question 766655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given a standard deck of 52 cards with 5 cards being dealt to a player.<BR>\n" );
document.write( "(a)find the probability that the player hand will have all 5 cards as spades.<BR>\n" );
document.write( "(b)now find the probability that the player's hand is a flush. Note that a flush is a 5 card poker hand with all 5 cards being the same suit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467143 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=467143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given a standard deck of 52 cards with 5 cards being dealt to a player.<BR>\n" );
document.write( "(a)find the probability that the player hand will have all 5 cards as spades.<BR>\n" );
document.write( "# of ways to succeed: 13C5 = 1287<BR>\n" );
document.write( "# of possible 5 card hands: 52C5<BR>\n" );
document.write( "------<BR>\n" );
document.write( "P(5 spades) = 1287/52C5 = 0.000495..<BR>\n" );
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document.write( "(b)now find the probability that the player's hand is a flush. Note that a flush is a 5 card poker hand with all 5 cards being the same suit.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "# of ways to get a flush in each suit:: 9<BR>\n" );
document.write( "# of ways to get a flush in 4 suits:::: 36<BR>\n" );
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document.write( "P(flush) = 36/52C5 = 0.0000139<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );