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

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(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: $P(\text{9 of Diamonds}) = \frac{1}{52}$

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(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: $P(\text{Club or Heart}) = \frac{26}{52} = \frac{1}{2}$

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(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: $P(\text{number smaller than 2}) = \frac{4}{52} = \frac{1}{13}$

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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.