document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114545>Question 1114545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a school of 600 students, 360 are girls. There are 320 hockey players, of whom 200 are girls. Among the hockey players there are 28 goalkeepers, 19 of them girls. Find the probability that<BR>\n" );
document.write( "(i) a student chosen at random is a girl<BR>\n" );
document.write( "(ii) a girl chosen at random plays hockey<BR>\n" );
document.write( "(iii) a hockey player chosen at random is a girl<BR>\n" );
document.write( "(iv) a student chosen at random is a goalkeeper<BR>\n" );
document.write( "(v) a goalkeeper chosen at random is a boy<BR>\n" );
document.write( "(vi) a male hockey player chosen at random is a goalkeeper<BR>\n" );
document.write( "(vii) a hockey player chosen at random is a male goalkeeper<BR>\n" );
document.write( "(viii) two students chosen at random are both goalkeepers<BR>\n" );
document.write( "(ix) two students chosen at random are a male goalkeeper and a female<BR>\n" );
document.write( "goalkeeper<BR>\n" );
document.write( "(x) two students chosen at random are one boy and one girl.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729490 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=729490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  In a school of 600 students, 360 are girls. There are 320 hockey players, of whom 200 are girls. Among the hockey players there are 28 goalkeepers, 19 of them girls.<BR>\n" );
document.write( "360girls.....240boys.....600 students<BR>\n" );
document.write( "200girl hp...120boy hp...320 hockey players<BR>\n" );
document.write( "19 girl gk.... 9boy gk....28 goalkeepers<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Find the probability that<BR>\n" );
document.write( "(i) a student chosen at random is a girl:: 360/600<BR>\n" );
document.write( "(ii) a girl chosen at random plays hockey:: 200/600<BR>\n" );
document.write( "(iii) a hockey player chosen at random is a girl::200/320<BR>\n" );
document.write( "(iv) a student chosen at random is a goalkeeper::28/600<BR>\n" );
document.write( "(v) a goalkeeper chosen at random is a boy::9/28<BR>\n" );
document.write( "(vi) a male hockey player chosen at random is a goalkeeper::9/120<BR>\n" );
document.write( "(vii) a hockey player chosen at random is a male goalkeeper::9/320<BR>\n" );
document.write( "(viii) two students chosen at random are both goalkeepers:: 28C2/600C2<BR>\n" );
document.write( "(ix) two students chosen at random are a male goalkeeper and a female<BR>\n" );
document.write( "goalkeeper::(9/240)(19/360)<BR>\n" );
document.write( "(x) two students chosen at random are one boy and one girl.(1/240)(1/360)<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" );