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Let's solve the probability questions step by step:

We are dealing with a standard 52-card deck, which contains 4 suits (hearts, diamonds, clubs, spades), and each suit has 13 cards (numbered 2 through 10, Jack, Queen, King, Ace).

### (a) The card drawn is 6.

There are 4 cards in the deck that are "6" (one for each suit: hearts, diamonds, clubs, and spades). So the probability of drawing a 6 is:

\[
P(\text{6}) = \frac{4}{52} = \frac{1}{13}
\]

### (b) The card drawn is a face card.

Face cards are Jacks, Queens, and Kings. There are 3 face cards per suit, and 4 suits, so there are:

\[
3 \times 4 = 12 \text{ face cards in total.}
\]

Thus, the probability of drawing a face card is:

\[
P(\text{Face card}) = \frac{12}{52} = \frac{3}{13}
\]

### (c) The card drawn is not a face card.

The deck has 52 cards, of which 12 are face cards. The number of non-face cards is:

\[
52 - 12 = 40
\]

Therefore, the probability of drawing a non-face card is:

\[
P(\text{Not a face card}) = \frac{40}{52} = \frac{10}{13}
\]

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Would you like more details on any of these steps or have any questions? Here are 5 related questions to explore:

1. What is the probability of drawing an Ace from a standard deck?
2. How do we calculate the probability of drawing a red card?
3. What is the probability of drawing a card that is either a 6 or a face card?
4. How would the probabilities change if jokers were included in the deck?
5. What is the probability of drawing a card greater than 10 (not including face cards)?

**Tip:** Always make sure to verify how many specific cards of a type are in the deck before calculating probabilities!

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event: (a) The card drawn is a 6. (b) The card drawn is a face card. (c) The card drawn is not a face card.

Learn how to calculate the probability of drawing specific cards from a standard 52-card deck. This problem focuses on finding the probability of drawing a 6, a face card, and non-face cards. Suitable for students in Grades 7-10.

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