Recent MLS listings of houses for sale in Edmonton show that 45% have attached garages, 15% have detached garages, and 14% have a home theatre. Additionally, 60% of houses with a home theatre have an attached garage, and 90% of houses with a detached garage do not have a home theatre. (Round your answers to 3 decimal places, if needed.) a) What is the probability that a randomly chosen house has a garage? Answer: b) What is the probability that a house has an attached garage and a home theatre? Answer: c) What is the probability that a house has an attached garage, but no home theatre? Answer: d) What is the probability that a house has a detached garage, but no home theatre? Answer: e) What is the probability that a house has a garage, but no home theatre? Answer: f) What is the probability that a house has a home theatre given it has an attached garage? Answer: