document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187188>Question 1187188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> you have 8 cards, 5 are green, 3 are yellow. Suppose that you randomly draw 2 cards, one at a time, WITHOUT REPLECEMENT. Let G1= 1st card is green, let G2= 2nd card is green. \r<BR>\n" );
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document.write( "find P(G1 and G2)\r<BR>\n" );
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document.write( "find P(at least one green). \r<BR>\n" );
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document.write( "find P(G2|G1)\r<BR>\n" );
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document.write( "are G2 and G1 independent events? why or why not? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819223 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first is (5/8)*4/7)=20/56 or 5/14.<BR>\n" );
document.write( "at last one green is 1- both yellow or 1-(3/8)(2/7)=25/28<BR>\n" );
document.write( "P(G2|G1) is 4/7, one less from each the numerator and the denominator.<BR>\n" );
document.write( "They aren't independent because when the first one is drawn it changes the probability for the second. Sampling with replacement would make them independent. \r<BR>\n" );
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