document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=453490>Question 453490</A>: <I><SPAN STYLE=\"word-break: break-all;\">     what is the theoretical probability of being delt exactly three 4s in a 5-card hand from a standard 52-card deck </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311569 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=311569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the theoretical probability of being delt exactly three 4s in a 5-card hand from a standard 52-card deck.<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "# of ways to get 3 4's: 4C3 = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "# of ways to get 2 non-3 cards: 48C3 = 17296<BR>\n" );
document.write( "----<BR>\n" );
document.write( "# of ways to get 3 4's and 2 other = 4*17296<BR>\n" );
document.write( "------<BR>\n" );
document.write( "# of ways to get 5 cards randomly: 52C5<BR>\n" );
document.write( "=============================================<BR>\n" );
document.write( "P(3 4's and 2 other) = (4*17296)/52C5 = 0.0266<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );