document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393533>Question 393533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3 cards are chosen at random from a standard 52-card deck. What is the probability that they form a pair? (A 3-card hand is a pair if two of the cards match in rand but the third card is different.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279271 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=279271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3 cards are chosen at random from a standard 52-card deck. What is the probability that they form a pair? (A 3-card hand is a pair if two of the cards match in rand but the third card is different.)<BR>\n" );
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document.write( "Pick a type of card: 13 ways<BR>\n" );
document.write( "Pick a pair of that type: 4C2 = 6 ways<BR>\n" );
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document.write( "Pick a 3rd card that is not that type: 48 ways<BR>\n" );
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document.write( "P(event as described) = [13*6*48]/52C3 = 3744/22100 = 0.1694<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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