document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129456>Question 129456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you take all of the black cards out of a standard deck of 52 cards and thoroughly shuffle the remaining 26 red cards. From this deck of 26 red cards you will select 3 cards, one at a time, WITHOUT replacement, and record weather each card is picked is a face card (a jack, queen, or king), or not a face card.\r<BR>\n" );
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document.write( "a.) What is the probability that none of the 3 cards picked in this way is a face card?\r<BR>\n" );
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document.write( "b.) what is the probability that exactly one of the three cards picked is a face card?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94622 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=94622\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that you take all of the black cards out of a standard deck of 52 cards and thoroughly shuffle the remaining 26 red cards. From this deck of 26 red cards you will select 3 cards, one at a time, WITHOUT replacement, and record weather each card is picked is a face card (a jack, queen, or king), or not a face card.<BR>\n" );
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document.write( "There are 6 face-cards in the half-deck.<BR>\n" );
document.write( "There are 20 non face-cards in the half-deck.<BR>\n" );
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document.write( "a.) What is the probability that none of the 3 cards picked in this way is a face card?<BR>\n" );
document.write( "P(3 non face) = 20C3/26C3 = 1140/2600=0.43846...<BR>\n" );
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document.write( "b.) what is the probability that exactly one of the three cards picked is a face card?  <BR>\n" );
document.write( "P(picking one face card) = 6/26= 3/13<BR>\n" );
document.write( "P(picking one face in picking three) = 3C1(3/13)(10/13)^2 = 0.4096...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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