Of a group of children, 0.4 are boys and 0.6 are girls. Of the boys, 0.5 have brown eyes; of the girls,
0.3 have brown eyes. A child is selected at random from the group.
(a) Find the probability that the child is a girl.
(b) Find P(brown eyes | boy).
(c) Find the probability that the child is a boy with brown eyes.
(d) Find the probability that the child is a girl with brown eyes.
(e) Find the probability that the child has brown eyes.
(f) Find the probability that the child is a girl, given that the child has brown eyes.