Falling snow yet a clear full moon

Winter has returned with frost, overcast weather and a little bit of snow, which still is found on the ground. Even in the city, last night, you could see snow falling as well accumulating in the streets. It was in fact interesting; because while snow was falling - at the same time you could see the full moon shining clearly. There was just a haze in the air (clouds) - but it surprised me that the moon was clearly visible. Which together with snowfall, gave a strange appearance.