document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163614>Question 1163614</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A hospital spokesperson reported that 4 births had taken place at the Taguig-Pateros Hospital<BR>\n" );
document.write( "during the last 24 hrs. Find the following probabilities:<BR>\n" );
document.write( "a. P(A) = P(the event that 2 boys and 2 girls are born)<BR>\n" );
document.write( "b. P(B) = P(no boys are born)<BR>\n" );
document.write( "c. P(C) = P(at least one boy is born)<BR>\n" );
document.write( "d. P(A|C)<BR>\n" );
document.write( "e. P(B|C)<BR>\n" );
document.write( "f. Are A and C mutually exclusive events? Are A and C independent?<BR>\n" );
document.write( "g. Are B and C mutually exclusive events? Are B and C independent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787868 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=787868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1--4--6--4--1<BR>\n" );
document.write( "2 boys and 2 girls is 6/16 or 0.375 probability<BR>\n" );
document.write( "no boys is 1/16 or 0.0625 probability<BR>\n" );
document.write( "at least one boy is born is the complement or 0.9375 probability <BR>\n" );
document.write( "given at least 1 boy, probability of two boys<BR>\n" );
document.write( "this would be 6/15, since given at least one boy decreases denominator from 16 to 15.<BR>\n" );
document.write( "P(B|C) is 0.<BR>\n" );
document.write( "A and C are not mutually exclusive, B and C are mutually exclusive\r<BR>\n" );
document.write( "\n" );
document.write( "P(A)*P(C)= P(A and C)<BR>\n" );
document.write( "(5/16)(15/16)=75/256; P(A and C) =P(A)=5/16<BR>\n" );
document.write( "They aren't equal so are dependent.<BR>\n" );
document.write( "Once you know 2 boys and 2 girls, you know there is at least one boy. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );