document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=465368>Question 465368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given a regular 52- card deck, what is the probabliuty of getting a 5-card hand with at least one heart? and what is the probabilty of getting a 5-card hand that consists of 3 red cards and 2 black cards? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318896 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=318896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given a regular 52- card deck, what is the probability of getting a 5-card hand with at least one heart? <BR>\n" );
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document.write( "P(at least one heart) = 1 - P(no heart)<BR>\n" );
document.write( "= 1 - [39C5/52C5] <BR>\n" );
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document.write( "= 1 - [0.2215]<BR>\n" );
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document.write( "= 0.7785<BR>\n" );
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document.write( "and what is the probabilty of getting a 5-card hand that consists of 3 red cards and 2 black cards?<BR>\n" );
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document.write( "P(3red and 2 black) <BR>\n" );
document.write( "= [26C3*26C2]/[52C5] <BR>\n" );
document.write( "= 0.3251<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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