The probability of being bitten by a mad dog without vaccination is 1/3, so the probability of being bitten by a wild dog in an epidemic area is about one thousandth, which is less than one thousandth in the whole country. The probability of being bitten by dogs in big cities is almost zero, because there are almost no mad dogs.
Although it is a small probability event, if it is not certain that it is a healthy dog, it is still necessary to vaccinate against risks.