document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619298>Question 619298</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 5-card hand is dealt from a deck of 52 cards. What is the probability that<BR>\n" );
document.write( "a.) none are queens?<BR>\n" );
document.write( "b.) all are queens? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389560 by </B><A HREF=/tutors/aboutme.mpl?userid=sophxmai><B>sophxmai(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sophxmai><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=sophxmai><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are only 4 queens in a deck of cards.<BR>\n" );
document.write( "P(a)= probability that event A occurs<BR>\n" );
document.write( "= (total number of desired outcomes)/(total number of possible outcomes)<BR>\n" );
document.write( "Use combinatorics.\r<BR>\n" );
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document.write( "The total number of possible outcomes in a) and b) is<BR>\n" );
document.write( "52C5 = 2598960\r<BR>\n" );
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document.write( "The total number of desired outcomes in a) is<BR>\n" );
document.write( "48C5 = 1712304<BR>\n" );
document.write( "It's 48 because you don't want any queens, and there are 4 queens in a deck of 52\r<BR>\n" );
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document.write( "The total number of desired outcomes in b) is<BR>\n" );
document.write( "0 because there are only 4 queens in a deck of 52, but you want your 5 card hand to be all queens.\r<BR>\n" );
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document.write( "So <BR>\n" );
document.write( "a)P(no queens in a 5 card hand)=1712304/2598960=0.659<BR>\n" );
document.write( "b)P(all queens in a 5 card hand)=0/2598960=0 </SPAN>\n" );
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