Probability Worksheets | Worsheets library - Free Printable

Let's solve each probability question step by step based on the information provided in the worksheet.

We are told that a fair die is tossed. A fair die has 6 faces: numbered 1 through 6. Each outcome (1, 2, 3, 4, 5, 6) is equally likely.

So, the total number of possible outcomes = 6

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1. What is the probability of rolling a 3?

- Only one face shows a 3.
- So, 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 more than 4: 5 and 6 → 2 outcomes
- Favorable outcomes = 2
- 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
- Favorable outcomes = 4
- 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
- Favorable outcomes = 3
- 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
- Favorable outcomes = 3
- 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?

- Prime numbers between 1 and 6:
- 2 (prime), 3 (prime), 5 (prime)
- 1 is not prime, 4 is not prime (divisible by 2), 6 is not prime
- So primes: 2, 3, 5 → 3 outcomes
- Probability = $ \frac{3}{6} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

> Note: The hint says "Remember: 1 is not a prime number" — correct!

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

- Rolling a 3 or a 6 → two distinct outcomes
- Favorable outcomes = 2
- 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?

- First, identify even prime numbers:
- Even numbers: 2, 4, 6
- Which of these are prime?
- 2 → prime ✔
- 4 → not prime (divisible by 2)
- 6 → not prime (divisible by 2 and 3)
- So only 2 is an even prime number
- Favorable outcome = 1 (only 2)
- 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 formatted as a printable answer sheet!