document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969145>Question 969145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many five-card hands consisting of three cards of one face value and two cards of another face value can be dealt from a deck of 48 playing cards? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592095 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=592095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  How many five-card hands consisting of three cards of one face value and two cards of another face value can be dealt from a deck of 48 playing cards?<BR>\n" );
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document.write( "# of ways to select 3 cards of one face value: 13*4C3 = 13*4 = 52<BR>\n" );
document.write( "# of ways to select 2 cards of another face value: 12*4C2 = 72<BR>\n" );
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document.write( "# of ways to \"succeed\":: 52*72<BR>\n" );
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document.write( "# of random 5-card hands:: 52C5 <BR>\n" );
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document.write( "Ans: P(condition) = (52*72)/52C5 = 0.00144<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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