Let's solve the problems step by step:

(a) Find the probability that it is a jack.

• In a standard deck of 52 cards, there are 4 jacks (one for each suit: hearts, diamonds, clubs, and spades).
• Probability = (Number of jacks) / (Total number of cards)
  $P(\text{jack}) = \frac{4}{52} = \frac{1}{13}$

(b) Find the probability that it is a red card.

• Half of the deck is red (hearts and diamonds), so there are 26 red cards.
• Probability = (Number of red cards) / (Total number of cards)
  $P(\text{red card}) = \frac{26}{52} = \frac{1}{2}$

(c) Find the probability that it is a spade.

• There are 13 spades in the deck (one for each rank in the suit of spades).
• Probability = (Number of spades) / (Total number of cards)
  $P(\text{spade}) = \frac{13}{52} = \frac{1}{4}$

Final Answers:

(a) $\frac{1}{13}$
(b) $\frac{1}{2}$
(c) $\frac{1}{4}$

Let me know if you want further clarification on any step!

Here are 5 questions to deepen understanding:

1. What is the probability of drawing a face card (Jack, Queen, or King)?
2. How does the probability change if we only consider red jacks?
3. What is the probability of drawing a card that is not a spade?
4. If two cards are drawn without replacement, what is the probability both are red?
5. What is the probability of drawing a king or a heart?

Tip: When calculating probabilities, always check the total count of favorable outcomes versus the total possible outcomes.