Question

Tilly’s Daycare School visited a zoo during a pre-school celebration week. A sampling of children was asked if the zoo were to get one additional animal, would they prefer a lion or an elephant. The results of the survey follow:

	Lion	Elephant	Total
Boys	90	110	200
Girls	75	85	160
Total	165	195	360

If one child who was in the survey is selected at random, find the probability that:
a) The child selected the lion; given the child is a girl.
b) The child is a boy, given the child preferred the elephant.
c) The child selected is a girl, given that the child preferred the lion.
d) The child preferred the elephant given they are a girl.

Answer 1

	Lion	Elephant	Total
Boys	90	110	200
Girls	75	85	160
Total	165	195	360

a) The child selected the lion; given the child is a girl.
P(Lion/girl) = = 75/160

b )  b) The child is a boy, given the child preferred the elephant.

P(boy/elephent) = = 110/195

c )  c) The child selected is a girl, given that the child preferred the lion.

P(girl /lion) = = 75/165

d ) d) The child preferred the elephant given they are a girl.

P(elephent/girl) = = 85/160