Let's solve each probability question step by step based on the
8 cards shown in the image. We'll analyze the cards and compute the probabilities in
fraction form.
---
Step 1: List the Cards
From the image, the 8 cards are:
1.
9 of Clubs (♣)
2.
6 of Diamonds (♦)
3.
7 of Clubs (♣)
4.
2 of Hearts (♥)
5.
5 of Clubs (♣)
6.
8 of Spades (♠)
7.
3 of Diamonds (♦)
8.
8 of Diamonds (♦)
So we have:
-
Clubs: 9, 7, 5 → 3 cards
-
Diamonds: 6, 3, 8 → 3 cards
-
Hearts: 2 → 1 card
-
Spades: 8 → 1 card
Total number of cards =
8
---
Now, let's answer each question.
---
1. What is the probability of getting a heart card?
Only
1 heart card: 2 of Hearts
$$
P(\text{Heart}) = \frac{1}{8}
$$
✔ Answer: $ \frac{1}{8} $
---
2. What is the probability of getting a diamond card?
Diamonds: 6♦, 3♦, 8♦ →
3 cards
$$
P(\text{Diamond}) = \frac{3}{8}
$$
✔ Answer: $ \frac{3}{8} $
---
3. What is the probability of getting a clubs card?
Clubs: 9♣, 7♣, 5♣ →
3 cards
$$
P(\text{Clubs}) = \frac{3}{8}
$$
✔ Answer: $ \frac{3}{8} $
---
4. What is the probability of getting an even number?
Even numbers: 2, 6, 8
Check which cards have even values:
- 2 of Hearts → even
- 6 of Diamonds → even
- 8 of Spades → even
- 8 of Diamonds → even
→ So:
4 even-numbered cards (2, 6, 8, 8)
Note: Even though 8 appears twice, both are valid distinct cards.
$$
P(\text{Even}) = \frac{4}{8} = \frac{1}{2}
$$
✔ Answer: $ \frac{1}{2} $
---
5. What is the probability of getting an odd number?
Odd numbers: 3, 5, 7, 9
Check:
- 3♦ → odd
- 5♣ → odd
- 7♣ → odd
- 9♣ → odd
→
4 odd-numbered cards
$$
P(\text{Odd}) = \frac{4}{8} = \frac{1}{2}
$$
✔ Answer: $ \frac{1}{2} $
---
6. What is the probability of getting a card less than 5?
Cards with value < 5: 2, 3, 4
We have:
- 2 of Hearts → yes
- 3 of Diamonds → yes
No 4s.
So only
2 cards less than 5.
$$
P(\text{Less than 5}) = \frac{2}{8} = \frac{1}{4}
$$
✔ Answer: $ \frac{1}{4} $
---
7. What is the probability of getting a card with an 8?
We have:
- 8 of Spades
- 8 of Diamonds
→
2 cards with value 8
$$
P(\text{8}) = \frac{2}{8} = \frac{1}{4}
$$
✔ Answer: $ \frac{1}{4} $
---
8. What is the probability of getting a card with a prime number?
Prime numbers between 2 and 9:
2, 3, 5, 7
Now check which cards have these values:
- 2 of Hearts → prime
- 3 of Diamonds → prime
- 5 of Clubs → prime
- 7 of Clubs → prime
→
4 prime-numbered cards
Note: 8 is not prime (divisible by 2 and 4), 6 and 9 are not prime.
$$
P(\text{Prime}) = \frac{4}{8} = \frac{1}{2}
$$
✔ Answer: $ \frac{1}{2} $
---
✔ Final Answers:
1. Probability of a heart card:
$ \frac{1}{8} $
2. Probability of a diamond card:
$ \frac{3}{8} $
3. Probability of a clubs card:
$ \frac{3}{8} $
4. Probability of an even number:
$ \frac{1}{2} $
5. Probability of an odd number:
$ \frac{1}{2} $
6. Probability of a card less than 5:
$ \frac{1}{4} $
7. Probability of an 8:
$ \frac{1}{4} $
8. Probability of a prime number:
$ \frac{1}{2} $
Let me know if you'd like this formatted for printing or as a worksheet!
Parent Tip: Review the logic above to help your child master the concept of probability with a deck of cards worksheet.
