document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174954>Question 1174954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A card is drawn at a random from a pack of 52 playing cards (without jokers). Find the probabilities of the<BR>\n" );
document.write( "following events happening:<BR>\n" );
document.write( "A king or a red card is drawn<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 #800473 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=800473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer:  7/13\r<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "n(A) = number of items in set A<BR>\n" );
document.write( "n(Kings) = 4<BR>\n" );
document.write( "n(red cards) = 26  ...... 13 hearts + 13 diamonds<BR>\n" );
document.write( "n(red AND king) = 2\r<BR>\n" );
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document.write( "n(A or B) = n(A) + n(B) - n(A and B)<BR>\n" );
document.write( "n(red OR king) = n(red) + n(kings) - n(red AND king)<BR>\n" );
document.write( "n(red OR king) = 26 + 4 - 2<BR>\n" );
document.write( "n(red OR king) = 28<BR>\n" );
document.write( "28 cards are either red, a king, or both.\r<BR>\n" );
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document.write( "P(A) = probability event A happens<BR>\n" );
document.write( "P(A) = n(A)/n(S) .... S is the sample space<BR>\n" );
document.write( "P(red OR king) = n(red OR king)/n(any card)<BR>\n" );
document.write( "P(red OR king) = 28/52<BR>\n" );
document.write( "P(red OR king) = (4*7)/(4*13)<BR>\n" );
document.write( "P(red OR king) = 7/13<BR>\n" );
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