Question 1114545: 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
(i) a student chosen at random is a girl
(ii) a girl chosen at random plays hockey
(iii) a hockey player chosen at random is a girl
(iv) a student chosen at random is a goalkeeper
(v) a goalkeeper chosen at random is a boy
(vi) a male hockey player chosen at random is a goalkeeper
(vii) a hockey player chosen at random is a male goalkeeper
(viii) two students chosen at random are both goalkeepers
(ix) two students chosen at random are a male goalkeeper and a female
goalkeeper
(x) two students chosen at random are one boy and one girl.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
360girls.....240boys.....600 students
200girl hp...120boy hp...320 hockey players
19 girl gk.... 9boy gk....28 goalkeepers
---------------------
Find the probability that
(i) a student chosen at random is a girl:: 360/600
(ii) a girl chosen at random plays hockey:: 200/600
(iii) a hockey player chosen at random is a girl::200/320
(iv) a student chosen at random is a goalkeeper::28/600
(v) a goalkeeper chosen at random is a boy::9/28
(vi) a male hockey player chosen at random is a goalkeeper::9/120
(vii) a hockey player chosen at random is a male goalkeeper::9/320
(viii) two students chosen at random are both goalkeepers:: 28C2/600C2
(ix) two students chosen at random are a male goalkeeper and a female
goalkeeper::(9/240)(19/360)
(x) two students chosen at random are one boy and one girl.(1/240)(1/360)
________
Cheers
Stan H.
------------
|
|
|
