As shown above, a classic deck of playing cards is made up of 52 cards, 26 of which are black and the other 26 are red. Each color is split into two suits of 13 cards each (clubs & spades are black, and hearts & diamonds are red). Each suit is split into 13 ranks of cards (Ace, 2-10, Jack, Queen, and King).

If you select a card at random, what is the probability of getting...

(a) ...a 9 of Diamonds?

(b) ...a Club or Heart?

(c) ...a number smaller than 2 (counting the ace as a 1)?

Give all your answers as reduced fractions.

Let's break down each part of the problem step by step.

---

### (a) Probability of getting a 9 of Diamonds:

- There is only **1 card** in the entire deck that is the 9 of Diamonds.
- The total number of cards in the deck is **52**.

The probability of selecting the 9 of Diamonds is:
\[
P(\text{9 of Diamonds}) = \frac{1}{52}
\]

---

### (b) Probability of getting a Club or a Heart:

- There are **13 Clubs** and **13 Hearts** in the deck.
- The total number of cards that are either a Club or a Heart is:
\[
13 + 13 = 26
\]
- The total number of cards in the deck is **52**.

The probability of selecting a Club or a Heart is:
\[
P(\text{Club or Heart}) = \frac{26}{52} = \frac{1}{2}
\]

---

### (c) Probability of getting a number smaller than 2 (counting the Ace as 1):

- The only card in the deck with a number smaller than 2 is the **Ace**.
- There are **4 Aces** in the deck, one in each suit.
- The total number of cards in the deck is **52**.

The probability of selecting a card with a number smaller than 2 is:
\[
P(\text{number smaller than 2}) = \frac{4}{52} = \frac{1}{13}
\]

---

### Final answers:
- (a) \( \frac{1}{52} \)
- (b) \( \frac{1}{2} \)
- (c) \( \frac{1}{13} \)

Would you like more details or explanations on any of the parts?

Here are 5 related questions for further practice:
1. What is the probability of drawing a face card (Jack, Queen, or King)?
2. What is the probability of drawing a red card that is not a face card?
3. If you draw two cards at random, what is the probability that both are Aces?
4. What is the probability of drawing a spade or a red card?
5. What is the probability of drawing a 10 or a King?

**Tip:** When solving probability problems, always identify how many outcomes meet the condition (favorable outcomes) and divide by the total possible outcomes.

Explore the probabilities of drawing specific cards from a standard deck of 52 playing cards. Learn how to calculate the chances of getting a 9 of Diamonds, a Club or Heart, or a card smaller than 2 (Ace counted as 1). This problem covers key probability concepts and is suitable for Grades 6-8.

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