document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250029>Question 250029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 25. Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.\r<BR>\n" );
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document.write( "a. One is a face card and the other is not.<BR>\n" );
document.write( "b. At most one is a queen. \r<BR>\n" );
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document.write( "pick face card 4C2 = 12 ways<BR>\n" );
document.write( "2 cards w/o restriction 52C2<BR>\n" );
document.write( "P (2 cards) = 12/22100 = 6/11050 = 1841.666????<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182039 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=182039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results. <BR>\n" );
document.write( "a. One is a face card and the other is not.<BR>\n" );
document.write( "P(face) = 12/52<BR>\n" );
document.write( "P(not face|face) = 40/51<BR>\n" );
document.write( "P(face AND not face) = (12/52)(40/51) = 480/2652 = 0.1810..<BR>\n" );
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document.write( "b. At most one is a queen.<BR>\n" );
document.write( "P(at most one is a queen) = 1 - P(none is a queen)<BR>\n" );
document.write( "= 1 - (48/52)(47/51) <BR>\n" );
document.write( "= 1 - 2256/2652 = 0.1493<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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