The probability that a house has a backyard given that it has a garage is 0.77 or 77%.
What is conditional probability?
A conditional probability is the probability of an event e.g event (A) provided that event (B) has occurred.
From the given information:
- Percentage of the houses that has garage P(B) = 84%
- Percentage of the house that has a garage and a backyard P(A and B) = 65%
Using conditional probability to determine the house that a house has a backyard given that it has a garage, we have:
[tex]\mathbf{P(B|A) = \dfrac{P(A \ and \ B)}{P(A)}}[/tex]
[tex]\mathbf{P(B|A) = \dfrac{65\%}{84\%}}[/tex]
[tex]\mathbf{P(B|A) = \dfrac{0.65}{0.84}}[/tex]
P(B|A) = 0.77
P(B|A) = 77%
Learn more about conditional probability here:
https://brainly.com/question/10739997
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