document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118548>Question 1118548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the probability that the first card is a face card (jack, queen, or king) given that the second card is an eight? (Round your answer to three decimal places.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733937 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=733937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let event A be the probability of first drawing a face card = 12/52 = 3/13<BR>\n" );
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document.write( "let B be the probability of second drawing an 8 = 4/51(because the face card was drawn first)<BR>\n" );
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document.write( "Probability (P) (A|B) = P (A intersection B) / P(B)<BR>\n" );
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document.write( "P (A intersection B) means P that both events happen, therefore<BR>\n" );
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document.write( "P (A intersection B) = (3/13) * (4/51) = 12/663 = 4/221<BR>\n" );
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document.write( "P (A|B) = (4/221) / (4/51) = 51/221 is approximately 0.231<BR>\n" );
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