document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031198>Question 1031198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A five-card hand is chosen from a standard deck. <BR>\n" );
document.write( " (a)   How many different hands have exactly two hearts? <BR>\n" );
document.write( "     <BR>\n" );
document.write( " (b)   What is the probability of getting one of the hands in (a) if a five-card hand is dealt at random? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645979 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is the number of ways to choose 2 hearts from 13 cards and 3 other cards from 39.<BR>\n" );
document.write( "That is 13C2*39C3=78*(39*38*37)/6=712842<BR>\n" );
document.write( "The number of hands is 52C5=2598960<BR>\n" );
document.write( "The probability is 712842/2598960 = 0.274 </SPAN>\n" );
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