document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182417>Question 182417</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780132297516/algebrahomeworkh>discrete mathematical structures</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that two cards are selected at random from a standard 52 card deck. What is the probability that both cards are less than 10 and neither of them is red? \r<BR>\n" );
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document.write( "Total no of outcomes = 52 C 2 = 1326<BR>\n" );
document.write( "there are 26 black and 26 red cards . \r<BR>\n" );
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document.write( "After that i don't know how to proceed please help me. \r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136902 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=136902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that two cards are selected at random from a standard 52 card deck. What is the probability that both cards are less than 10 and neither of them is red? \r<BR>\n" );
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document.write( "Total no of outcomes = 52 C 2 = 1326<BR>\n" );
document.write( "there are 26 black and 26 red cards . <BR>\n" );
document.write( "After that i don't know how to proceed please help me. \r<BR>\n" );
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document.write( "P(two<10 AND black) = P(two<10|black)*P(black)\r<BR>\n" );
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document.write( "# of black is 26<BR>\n" );
document.write( "# of those black that are less then 10 = 9<BR>\n" );
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document.write( "So, P(two<10 | black) = 9C2/26C2<BR>\n" );
document.write( "And P(black) = 1/2<BR>\n" );
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document.write( "Ans: [9C2/26C2] = [36/325] = 18/325<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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