A supermarket chain has 45% of its locations in Indiana, 30% of its locations in Michigan, and 25% of its locations in Kentucky. Not all of the locations have gas stations: 40% of the locations in Indiana have gas stations, 60% of the locations in Michigan have gas stations, and 30% of the locations in Kentucky have gas stations. A person went to the supermarket and was able to get gas. What is the probability that the person was in Indiana? Give your answer to three decimal places