Let's calculate the probabilities of each event step by step:

1. The card drawn is a 5:

In a standard 52-card deck, there are 4 cards that are 5's (one from each suit: hearts, diamonds, clubs, and spades).

$P(\text{5}) = \frac{\text{Number of 5's}}{\text{Total number of cards}} = \frac{4}{52} = \frac{1}{13}$

2. The card drawn is a face card (Jack, Queen, or King):

There are 3 face cards (Jack, Queen, and King) in each of the 4 suits. So, the total number of face cards is:

$\text{Number of face cards} = 3 \times 4 = 12$

$P(\text{Face card}) = \frac{\text{Number of face cards}}{\text{Total number of cards}} = \frac{12}{52} = \frac{3}{13}$

3. The card drawn is not a face card:

Since there are 12 face cards in the deck, the number of non-face cards is:

$\text{Number of non-face cards} = 52 - 12 = 40$

$P(\text{Not a face card}) = \frac{\text{Number of non-face cards}}{\text{Total number of cards}} = \frac{40}{52} = \frac{10}{13}$

Final Probabilities:

• The probability of drawing a 5: $\frac{1}{13}$
• The probability of drawing a face card: $\frac{3}{13}$
• The probability of drawing a non-face card: $\frac{10}{13}$

Would you like more details on any of these steps or related concepts?

Here are 5 related questions to expand this:

1. What is the probability of drawing an Ace from the deck?
2. What is the probability of drawing a red card?
3. What is the probability of drawing a heart or a club?
4. What is the probability of drawing a 10 or a face card?
5. What is the probability of drawing a card that is either a spade or a number card?

Tip: To improve your probability skills, practice identifying favorable outcomes versus total outcomes for various real-world scenarios.