document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810783>Question 810783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A carton of eggs has 3 bad eggs and 9 good eggs. If an omelette is made of 3 eggs randomly selected from the carton,<BR>\n" );
document.write( "a)what is the probability of having at least one bad egg in the omelette?<BR>\n" );
document.write( "b)what is the probability of having exactly 2 bad eggs in the omelette?<BR>\n" );
document.write( "c)compute E(x^2)-[E(x)]^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488437 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) P(at least 1 bad egg) = 1-P(no bad eggs) = 1- (9C3)/(12C3) = 1-84/220\r<BR>\n" );
document.write( "\n" );
document.write( "= 1- 21/55 = 34/55\r<BR>\n" );
document.write( "\n" );
document.write( "Answer: 34/55\r<BR>\n" );
document.write( "\n" );
document.write( "b) P(2 bad eggs) =  (3C2)(9C1)/(12C3) = 27/220 \r<BR>\n" );
document.write( "\n" );
document.write( "ANswer:  27/220\r<BR>\n" );
document.write( "\n" );
document.write( "You can ask me more at : mthman@gmail.com\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );