Question

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?

Answer 1

The answer on the test was 75%.

Answer 2

The answer to this problem is .48. The probability of the neighborhood (given that 80% of the houses in the neighborhood have a garage) has a fenced in backyard given that it has a garage would be .48. I arrived to this answer through getting the 60% of 80 would be 48. Thus, only 48% of the neighborhood probably has houses with a fenced-in backyard and a garage.