document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478909>Question 478909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Math teacher, \r<BR>\n" );
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document.write( "Could you help me please with the following problem? \r<BR>\n" );
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document.write( "Three cards are drawn from a pack of 52, each card being replaced before the next one is drawn.  Compute the probability p that all are spades.  A pack of 52 cards includes 13 spades. \r<BR>\n" );
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document.write( "Here is how I did it: \r<BR>\n" );
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document.write( "p = 13C3 / 52C3 = 286/22,100 = 0.0129 or 1.29%.  However, this is NOT the right answer.  My textbook's solution is solved like this: (13/52)^3 = 1/64 = 0.0156 or 1.56%. \r<BR>\n" );
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document.write( "Please let me know why my way does NOT give me the right answer. \r<BR>\n" );
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document.write( "Thank you so much as always. \r<BR>\n" );
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document.write( "Yours sincerely, \r<BR>\n" );
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document.write( "Ivanka </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #328176 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=328176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three cards are drawn from a pack of 52, each card being replaced before the next one is drawn. Compute the probability p that all are spades. A pack of 52 cards includes 13 spades. <BR>\n" );
document.write( "Here is how I did it: <BR>\n" );
document.write( "p = 13C3 / 52C3 = 286/22,100 = 0.0129 or 1.29%.<BR>\n" );
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document.write( "Comment: Your's is the probability of picking <BR>\n" );
document.write( "a set of 3 clubs from all the sets of 3 cards.<BR>\n" );
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document.write( " However, this is NOT the right answer. My textbook's solution is solved like this: (13/52)^3 = 1/64 = 0.0156 or 1.56%.<BR>\n" );
document.write( "Comment: This is the probability of successively <BR>\n" );
document.write( "selecting a club 3 times from a deck of 52 cards.<BR>\n" );
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document.write( "Comment: An interesting difference. <BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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