Let’s go through each question one by one. We’re rolling a
fair die — that means it has 6 sides, numbered 1 to 6, and each number has an equal chance of coming up.
Total possible outcomes = 6 (because the die can land on 1, 2, 3, 4, 5, or 6)
We’ll find the probability for each question by counting how many outcomes match what we want, then write it as a fraction over 6, and simplify if needed.
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1. What is the probability of rolling a 3?
Only one side shows a 3 → so 1 favorable outcome.
Probability = 1/6
→ Already simplified.
✔ Answer:
1/6
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2. What is the probability of rolling more than 4?
Numbers more than 4 on a die: 5 and 6 → that’s 2 numbers.
Probability = 2/6 → simplify by dividing top and bottom by 2 →
1/3
✔ Answer:
1/3
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3. What is the probability of rolling less than 5?
Numbers less than 5: 1, 2, 3, 4 → that’s 4 numbers.
Probability = 4/6 → simplify → divide by 2 →
2/3
✔ Answer:
2/3
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4. What is the probability of rolling an even number?
Even numbers on a die: 2, 4, 6 → that’s 3 numbers.
Probability = 3/6 → simplify →
1/2
✔ Answer:
1/2
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5. What is the probability of rolling an odd number?
Odd numbers on a die: 1, 3, 5 → that’s 3 numbers.
Probability = 3/6 → simplify →
1/2
✔ Answer:
1/2
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6. What is the probability of rolling a prime number?
First, remember:
1 is NOT a prime number (as the note says).
Prime numbers between 1 and 6:
- 2 → prime
- 3 → prime
- 5 → prime
(4 is not prime, 6 is not prime, 1 is not prime)
So primes: 2, 3, 5 → 3 numbers.
Probability = 3/6 → simplify →
1/2
✔ Answer:
1/2
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7. What is the probability of rolling a 3 or a 6?
Favorable outcomes: 3 and 6 → 2 numbers.
Probability = 2/6 → simplify →
1/3
✔ Answer:
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? Only
2 is both even and prime.
So only 1 favorable outcome.
Probability = 1/6
✔ Answer:
1/6
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Final Answer:
1. 1/6
2. 1/3
3. 2/3
4. 1/2
5. 1/2
6. 1/2
7. 1/3
8. 1/6
Parent Tip: Review the logic above to help your child master the concept of probability word problems worksheet.
