document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028850>Question 1028850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You draw two cards from a standard deck of playing cards without replacing the first one before drawing the second.<BR>\n" );
document.write( "a. Are the two outcomes on the two cards independent? Why?<BR>\n" );
document.write( "b. Find P(ace on 1st card and king on 2nd)<BR>\n" );
document.write( "c. You repeat this problem but this time plan to put the first card back and reshuffle the deck before selecting the second card. Are the outcomes on the two cards independent?<BR>\n" );
document.write( "d. Find P(ace on 1st card and king on 2nd). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643939 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "a. No.  They are not independent.  The outcome of the second draw depends on the result of the first draw.  On the first draw, you have 52 cards to choose from, but since you aren't replacing the first card drawn, you only have 51 possibilities on the second draw.  In other words, the first draw changes the sample space in a material way.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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