document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844937>Question 844937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cards are drawn in succession from a standard 52 card deck.  What is the probability that both cards are red\r<BR>\n" );
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document.write( "If the cards are drawn without replacement<BR>\n" );
document.write( "IF the cards are drawn with replacement </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541913 by </B><A HREF=/tutors/aboutme.mpl?userid=mark_henrhiz><B>mark_henrhiz(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mark_henrhiz><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=mark_henrhiz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a standard deck of cards there are\r<BR>\n" );
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document.write( "13 RED DIAMOND CARDS<BR>\n" );
document.write( "13 RED HEART CARDS<BR>\n" );
document.write( "13 BLACK CLUB CARDS<BR>\n" );
document.write( "13 BLACK SPADE CARDS\r<BR>\n" );
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document.write( "A) WITHOUT REPLACEMENT\r<BR>\n" );
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document.write( "P(A) = probability that the first card is red<BR>\n" );
document.write( "P(B|A) = probability that the second card is red given the first card is also red\r<BR>\n" );
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document.write( "P(both are red cards) = P(A)P(B|A)<BR>\n" );
document.write( "P(both are red cards) = 26/52 * 25/51<BR>\n" );
document.write( "P(both are red cards) = 25/102 = 0.245\r<BR>\n" );
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document.write( "B) WITH REPLACEMENT\r<BR>\n" );
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document.write( "P(both are red cards) = P(A)P(A|B)<BR>\n" );
document.write( "P(both are red cards) = 26/52 * 26/52<BR>\n" );
document.write( "P(both are red cards) = 1/4 = 0.25 </SPAN>\n" );
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