Probability worksheet for K-5 students focusing on fair die outcomes.

Let's solve each probability question step by step based on the information provided. A fair die has six faces: numbered 1 through 6.

We'll use the formula for probability:

> Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Since a fair die has 6 sides, the total number of possible outcomes is 6.

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1. What is the probability of rolling a 3?

- Favorable outcome: only one face shows a 3.
- So, number of favorable outcomes = 1

> Probability = $ \frac{1}{6} $

✔ Answer: $ \frac{1}{6} $

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2. What is the probability of rolling more than 4?

- Numbers greater than 4 on a die: 5 and 6
- So, favorable outcomes: 5, 6 → 2 outcomes

> Probability = $ \frac{2}{6} = \frac{1}{3} $

✔ Answer: $ \frac{1}{3} $

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3. What is the probability of rolling less than 5?

- Numbers less than 5: 1, 2, 3, 4 → 4 outcomes

> Probability = $ \frac{4}{6} = \frac{2}{3} $

✔ Answer: $ \frac{2}{3} $

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4. What is the probability of rolling an even number?

- Even numbers on a die: 2, 4, 6 → 3 outcomes

> Probability = $ \frac{3}{6} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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5. What is the probability of rolling an odd number?

- Odd numbers: 1, 3, 5 → 3 outcomes

> Probability = $ \frac{3}{6} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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6. What is the probability of rolling a prime number?

First, recall: Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves.

Numbers on a die: 1, 2, 3, 4, 5, 6
Prime numbers among them:
- 2 (prime)
- 3 (prime)
- 5 (prime)
- 1 is not prime
- 4 = 2×2 → not prime
- 6 = 2×3 → not prime

So, prime numbers: 2, 3, 5 → 3 outcomes

> Probability = $ \frac{3}{6} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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7. What is the probability of rolling a 3 or a 6?

- Favorable outcomes: 3 and 6 → 2 outcomes

> Probability = $ \frac{2}{6} = \frac{1}{3} $

✔ Answer: $ \frac{1}{3} $

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8. What is the probability of rolling an even prime number?

- Even numbers: 2, 4, 6
- Which of these are prime?
- 2 → prime ✔
- 4 → not prime ✘
- 6 → not prime ✘

Only 2 is an even prime number.

So, only 1 favorable outcome.

> Probability = $ \frac{1}{6} $

✔ Answer: $ \frac{1}{6} $

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✔ Final Answers:

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

Let me know if you'd like this as a printable answer sheet!