document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947927>Question 947927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you are dealt a hand of 4 cards from a standard deck of 52 playing cards.<BR>\n" );
document.write( "a.) What is the probability that you are dealt no more than 2 hearts?<BR>\n" );
document.write( "b.) What is the probability that you are dealt no spades and exactly 1 eight? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578516 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=578516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that you are dealt a hand of 4 cards from a standard deck of 52 playing cards.<BR>\n" );
document.write( " a.) What is the probability that you are dealt no more than 2 hearts?<BR>\n" );
document.write( "#( 0 hearts) = 13C0*39C4 = 39C4<BR>\n" );
document.write( "#( 1 heart) = 13C1*39C3 = 13*39C3<BR>\n" );
document.write( "#( 2 hearts) = 13C2*39C2 <BR>\n" );
document.write( "Ans:: (39C4 + 13*39C3 + 13C2*39C2+)/52C4<BR>\n" );
document.write( "==============================================<BR>\n" );
document.write( " b.) What is the probability that you are dealt no spades and exactly 1 eight?<BR>\n" );
document.write( "#(no spades  and 1 eight) = 3C1*36C3<BR>\n" );
document.write( "P(no spades and 1 eight) = [3*36C3]/53C4<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );