suppose a deck contains no red-face cards. the is the probability of drawing a face card from the deck, given the card is red.

If the deck contains no red-face cards, it means that there are no red cards among the face cards. This leaves us with only the black face cards (king, queen, and jack) in the deck. Since there are no red-face cards, the probability of drawing a face card from the deck, given that the card is red, is zero. This is because there are no red-face cards to draw from, so the probability of drawing a face card from the subset of red cards is not possible.