Probability Worksheets | Free - CommonCoreSheets - Free Printable

Let’s solve each question step by step. We’re working with a standard deck of 52 playing cards.

A standard deck has:
- 4 suits: hearts, diamonds, clubs, spades
- Hearts and diamonds are red → 13 red hearts + 13 red diamonds = 26 red cards
- Clubs and spades are black → 13 black clubs + 13 black spades = 26 black cards
- Each suit has 13 cards: Ace through 10, Jack, Queen, King
- There are 4 kings (one per suit), 4 aces, 4 jacks, etc.

Probability = (number of favorable outcomes) / (total possible outcomes)
Total outcomes = 52 (since one card is drawn from 52)

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1. Probability of selecting a red card?
Red cards = 26
→ 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 (one in each suit)
→ 4/52 = 1/13

6. Probability of selecting either an ace or a jack?
Aces = 4, Jacks = 4 → total = 8
→ 8/52 = 2/13 (divide numerator and denominator by 4)

7. Probability of selecting an even red card?
Even red cards: In hearts and diamonds, even numbers are 2, 4, 6, 8, 10 → that’s 5 per suit
So 5 (hearts) + 5 (diamonds) = 10 even red cards
→ 10/52 = 5/26 (divide by 2)

Wait — let’s double-check: Are we counting face cards? No, “even” means numerical even values: 2, 4, 6, 8, 10. Yes, 5 per red suit → 10 total. Correct.

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

Note: Spades and diamonds don’t overlap, so we can just add them.

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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