Probability Worksheets | Dynamically Created Probability Worksheets - Free Printable

Let's solve each probability question step by step based on a standard deck of 52 playing cards.

Understanding the Deck:

- A standard deck has 52 cards.
- There are 4 suits: Hearts, Diamonds, Clubs, Spades.
- Hearts and Diamonds are red.
- Clubs and Spades are black.
- Each suit has 13 cards: Ace, 2–10, Jack, Queen, King.
- The face cards are Jack, Queen, King (3 per suit).
- Even numbers in cards: 2, 4, 6, 8, 10.

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Now, let’s answer each question:

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#### 1. What is the probability of selecting a red card?

- Red cards = Hearts + Diamonds = 13 + 13 = 26
- Total cards = 52
- Probability = $ \frac{26}{52} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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#### 2. What is the probability of selecting a black card?

- Black cards = Clubs + Spades = 13 + 13 = 26
- Probability = $ \frac{26}{52} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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#### 3. What is the probability of selecting a heart?

- Hearts = 13 cards
- Probability = $ \frac{13}{52} = \frac{1}{4} $

✔ Answer: $ \frac{1}{4} $

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#### 4. What is the probability of selecting a spade?

- Spades = 13 cards
- Probability = $ \frac{13}{52} = \frac{1}{4} $

✔ Answer: $ \frac{1}{4} $

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#### 5. What is the probability of selecting a king?

- There are 4 kings (one per suit)
- Probability = $ \frac{4}{52} = \frac{1}{13} $

✔ Answer: $ \frac{1}{13} $

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#### 6. What is the probability of selecting either an ace or a jack?

- Aces = 4
- Jacks = 4
- Total favorable = 4 + 4 = 8
- Probability = $ \frac{8}{52} = \frac{2}{13} $

✔ Answer: $ \frac{2}{13} $

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#### 7. What is the probability of selecting an even red card?

- Red suits: Hearts and Diamonds (26 cards total)
- Even-numbered cards: 2, 4, 6, 8, 10 → 5 values
- Each red suit has 5 even cards → 5 (hearts) + 5 (diamonds) = 10 even red cards
- Probability = $ \frac{10}{52} = \frac{5}{26} $

✔ Answer: $ \frac{5}{26} $

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#### 8. What is the probability of selecting either a spade or a diamond card?

- Spades = 13
- Diamonds = 13
- Total = 13 + 13 = 26
- Probability = $ \frac{26}{52} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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✔ Final Answers:

1. $ \frac{1}{2} $
2. $ \frac{1}{2} $
3. $ \frac{1}{4} $
4. $ \frac{1}{4} $
5. $ \frac{1}{13} $
6. $ \frac{2}{13} $
7. $ \frac{5}{26} $
8. $ \frac{1}{2} $

Let me know if you'd like this explained visually or with diagrams!