Final answer:
The probability of drawing a face card from a standard 52-card deck is 12/52, while drawing a non-face card has a probability of 40/52.
Step-by-step explanation:
The subject of the question you have asked is probability, which is a mathematics topic. Specifically, the question involves calculating the probability of drawing cards from a standard 52-card deck.
You mentioned an experiment where a single card is drawn from a standard 52-card deck, but then referenced a scenario involving drawing two cards one at the time without replacement, which is a part of a tree diagram mentioned in the additional information you provided.
If we are considering the probability of a single event, such as drawing a face card (F) or a non-face card (N), the calculation is straightforward. Since there are 12 face cards in a deck of 52, the probability of drawing a face card is 12 out of 52. Conversely, the probability of drawing a non-face card would be 40 out of 52.
However, if you are looking to find the probabilities associated with drawing two cards without replacement, the tree diagram would help in calculating the combined probabilities of these sequential events. For instance, the probability of first drawing a face card and then a non-face card without replacement would be calculated by multiplying the individual probabilities of each event (that is, the probability of drawing a face card on the first draw multiplied by the probability of drawing a non-face card on the second draw, given that the face card has not been replaced).