Need Help with a math question.

You start dealing from one deck of cards and the first card dealt is not a face card. Does that mean that the chance of the next card not being a face card is 35/51 or is it as follows: The chances that the first card will not be a face card are 36/52. Once the first card is not a face card, the chance that the second card will not be a face card also are 36/52 X 36/51 which is lower than 36/52. Why is the second answer to this question wrong?