document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215375>Question 215375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cards are drawn in succession without replacement from a standard deck of 52 playing cards. What is the probability that the first card drawn was a diamond given that the second card drawn was not a diamond? (Round your answer to four decimal places.) \r<BR>\n" );
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document.write( "i cant seem to get this problem right as simple as it sounds!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162733 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cards are drawn in succession without replacement from a standard deck of 52 playing cards. What is the probability that the first card drawn was a diamond given that the second card drawn was not a diamond? (Round your answer to four decimal places.) \r<BR>\n" );
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document.write( "Step 1.  Let P(A) be the probability of a diamond and P(B) is not a diamond or 1-P(A) for the first card.  For the first card P(A)=13/52=0.25 and P(B)=1-P(A)=0.75\r<BR>\n" );
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document.write( "Step 2.  Let Probability of a diamond occurring in the  second card given that probaility of diamond occurring in the first card be given as P(A|B)=  P(A and B)/P(B).\r<BR>\n" );
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document.write( "Step 3.  The probability of a diamond in the second card is P(A and B)=13/51.  \r<BR>\n" );
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document.write( "Step 4.  P(A|B)=P(A and B)/P(B)= (13/51)/((39/52)=0.3399\r<BR>\n" );
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document.write( "Step 5.  Answer is P(is a diamond on second card |not a diamond on first card)=P(A|B)=0.3399\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For Step-By-Step videos in Circuit Analysis and Differential Equation please visit http://www.FreedomUniversity.TV\r<BR>\n" );
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document.write( "For Free Step-By-Step Videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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