A resident of Mexico City wants to buy a car and the probabilities that he will choose a Japanese, American or German made car are 0.31, 0.5 and 0.19 respectively. Statistics show that the probability that a vehicle made in Japan will be stolen in the country's capital is 0.25, while for Americans and Germans it is 0.15, 0.28, in that order. If this person purchased a car and it was stolen soon after, what is the probability that it was a US-made one?