Probability Worksheets - Free Printable

Explanation:
We are working with a standard deck of 52 playing cards. Let’s recall what’s in a deck:

- 4 suits: hearts (♥), diamonds (♦), clubs (♣), spades (♠)
- Each suit has 13 cards: Ace, 2–10, Jack, Queen, King
- Red cards: hearts and diamonds → 13 + 13 = 26 red cards
- Black cards: clubs and spades → 13 + 13 = 26 black cards
- Spades: 13 cards (all black)
- Hearts: 13 cards (all red)
- Kings: 4 total (one per suit)
- Aces: 4 total (one per suit)
- Jacks: 4 total (one per suit)
- Even red cards: red cards with even numbers → red suits are hearts and diamonds; even numbers are 2, 4, 6, 8, 10 → 5 even numbers × 2 red suits = 10 cards
- Spade or diamond card: spades (13) + diamonds (13) = 26 cards (no overlap — they’re different suits)

Now answer each question as a simplified fraction:

1. Probability of selecting a red card:
Red cards = 26
Total cards = 52
→ 26/52 = 1/2

2. Probability of selecting a black card:
Black cards = 26
→ 26/52 = 1/2

3. Probability of selecting a heart:
Hearts = 13
→ 13/52 = 1/4

4. Probability of selecting a spade:
Spades = 13
→ 13/52 = 1/4

5. Probability of selecting a king:
Kings = 4
→ 4/52 = 1/13

6. Probability of selecting either an ace or a jack:
Aces = 4, Jacks = 4 → total favorable = 8
→ 8/52 = simplify: divide numerator & denominator by 4 → 2/13

7. Probability of selecting an even red card:
Even red cards = 2, 4, 6, 8, 10 in hearts and diamonds → 5 × 2 = 10
→ 10/52 = simplify: divide by 2 → 5/26

8. Probability of selecting either a spade or a diamond card:
Spades = 13, Diamonds = 13 → total = 26
→ 26/52 = 1/2

Let me double-check each:
- Q1: 26/52 = 1/2 ✔
- Q2: same ✔
- Q3: 13/52 = 1/4 ✔
- Q4: same ✔
- Q5: 4/52 = 1/13 ✔
- Q6: 8/52 = 2/13 ✔
- Q7: even red = 2,4,6,8,10 × 2 suits = 10 → 10/52 = 5/26 ✔
- Q8: spade or diamond = 26/52 = 1/2 ✔

All correct.

Final Answer:
1. 1/2
2. 1/2
3. 1/4
4. 1/4
5. 1/13
6. 2/13
7. 5/26
8. 1/2