In a neighborhood 60% of the houses have a garage and a fenced in backyard. given that 80% of the houses in the neighborhood have a garage, what is the probability that a house has a fenced in backyard given that it has a garage?
a) 20%
b) 48%
c) 75%
d) 80%

 C)75%

Step-by-step explanation:

Let G represents the event of having garbage in houses and F represents the event of houses having fenced in backyard.

Given: In neighborhood , the probability of houses have a garage and a fenced in backyard

The probability of houses have a garage P(G)=80%=0.8

The probability that a house has a fenced in backyard given that it has a garage is given by :-

In percent,

Hence, the probability that a house has a fenced in backyard given that it has a garage = 75%.

both equations and proportions are better.