document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026636>Question 1026636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One card is randomly selected from a deck of 52 cards. Find the probability of selecting a black card or a picture card? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641893 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=641893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let\r<BR>\n" );
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document.write( "A = number of black cards<BR>\n" );
document.write( "B = number of picture cards (or face cards)<BR>\n" );
document.write( "C = number of black picture cards\r<BR>\n" );
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document.write( "There are 26 black cards (spades and clubs), so A = 26.\r<BR>\n" );
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document.write( "There are 3 picture cards (Jack, Queen, King) in each suit. There are 4 suits (clubs, hearts, spades, diamonds). So there are 3*4 = 12 picture cards. This means B = 12\r<BR>\n" );
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document.write( "There are 2 suits which are black (spades and clubs) with 3 face cards per suit, so 2*3 = 6 cards which are both black cards and face cards. So C = 6\r<BR>\n" );
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document.write( "The number of cards that are either black cards or a face card, or both, is...\r<BR>\n" );
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document.write( "D = A+B-C<BR>\n" );
document.write( "D = 26+12-6<BR>\n" );
document.write( "D = 32\r<BR>\n" );
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document.write( "So there are 32 cards that are either black cards or a face card, or both\r<BR>\n" );
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document.write( "This is out of 52 cards total, so\r<BR>\n" );
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document.write( "probability of selecting a black card or a picture card = D/52\r<BR>\n" );
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document.write( "probability of selecting a black card or a picture card = 32/52\r<BR>\n" );
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document.write( "probability of selecting a black card or a picture card = 8/13\r<BR>\n" );
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document.write( "The final answer, as a fraction, is <font color = red>8/13</font> </SPAN>\n" );
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