document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588149>Question 588149</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the probability that a 5 card poker hand has 2 queens, given that all 5 cards are red cards?\r<BR>\n" );
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document.write( "My impression is this is an intersection problem { P(X and Y) = P(X) + P(Y) - P(X)*P(Y) } ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374394 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=374394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the probability that a 5 card poker hand has 2 queens, given that all 5 cards are red cards?\r<BR>\n" );
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document.write( "# of ways to succeed: 2C2*24C3 = 2024<BR>\n" );
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document.write( "# of possible 5 red-card hands: 26C5 = 65780<BR>\n" );
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document.write( "P(condition met) = 2024/65780 = 0.0308<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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