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Shkiper50 [21]
3 years ago
11

In a neighborhood 60% of the houses have a garage and a fenced in backyard. Given that 80% of the houses in the neighborhood hav

e 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%
Mathematics
2 answers:
Tpy6a [65]3 years ago
8 0
The correct answer will be 75 for anyone wondering
xxMikexx [17]3 years ago
6 0

Answer:  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 P(G\cap F)= 60\%=0.6

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 :-

P(F|G)=\dfrac{P(G\cap F)}{P(G)}\\\\\Rightarrow\ P(F|G)=\dfrac{0.6}{0.8}=0.75

In percent, 0.75\times100=75\%

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

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