document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=497072>Question 497072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4.We draw 7 cards from a well shuffled deck of 52 cards.	<BR>\n" );
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document.write( "a) What is the probability that the 7 cards include exactly 3 aces?	<BR>\n" );
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document.write( "b) What is the probability that the 7 cards include exactly 2 queens?	<BR>\n" );
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document.write( "c) What is the probability that the 7 cards include exactly 3 aces,or 2	<BR>\n" );
document.write( "  queens,or both? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336675 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=336675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4.We draw 7 cards from a well shuffled deck of 52 cards. \r<BR>\n" );
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document.write( "a) What is the probability that the 7 cards include exactly 3 aces?<BR>\n" );
document.write( "Pick 3 aces: 4C3 = 4C1 = 4 ways<BR>\n" );
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document.write( "Pick 5 other cards: 48C5<BR>\n" );
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document.write( "Probability = (4*48C5)/52C7 = 0.0512<BR>\n" );
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document.write( "b) What is the probability that the 7 cards include exactly 2 queens? <BR>\n" );
document.write( "Prob = (4C2*48C5)/52C7 = 0.0548<BR>\n" );
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document.write( "c) What is the probability that the 7 cards include exactly 3 aces,or 2<BR>\n" );
document.write( "queens,or both?<BR>\n" );
document.write( "Prob = 0.0512+0.0548 + [(4*6*44C2)]52C7 = 0.1062<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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