Let's solve the probabilities step by step based on the image provided:

Question a) A 7 of Clubs

• There is exactly 1 card in the deck that is the 7 of Clubs.
• The total number of cards in the deck is 52.
• Probability of drawing the 7 of Clubs:

$P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{52}$

$P = 0.0192$

Question b) A Heart or Spade

• The deck has 13 Hearts and 13 Spades (13 cards per suit).
• Total number of favorable outcomes = $13 + 13 = 26$.
• Total number of cards = $52$.
• Probability of drawing a Heart or Spade:

$P = \frac{26}{52} = 0.5$

Question c) A number smaller than 3 (counting the Ace as 1)

• Cards smaller than 3 include Aces (1) and 2s.
• There are 4 Aces and 4 Twos, so $4 + 4 = 8$ favorable outcomes.
• Total number of cards = $52$.
• Probability of drawing a card smaller than 3:

$P = \frac{8}{52} = 0.1538$

Final Answers:

a) 0.0192
b) 0.5000
c) 0.1538

Would you like further clarifications or additional calculations? Here are related questions to deepen your understanding:

1. What is the probability of drawing a King or Queen from the deck?
2. How many red cards are there, and what is the probability of drawing one?
3. If you draw two cards at random without replacement, what is the probability both are Aces?
4. What is the probability of drawing a face card (Jack, Queen, King)?
5. What is the probability of not drawing a Spade?

Tip: Always consider whether events are independent or dependent when calculating probabilities for multiple draws.