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Probability worksheet for K-5 students focusing on a fair die, with questions on fractions and prime numbers.

A math worksheet titled "Probability: Fair Die" from K5 Learning, featuring a red die and eight probability questions about rolling a fair die.

A math worksheet titled "Probability: Fair Die" from K5 Learning, featuring a red die and eight probability questions about rolling a fair die.

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Show Answer Key & Explanations Step-by-step solution for: Probability Worksheets | Worsheets library
Let’s solve each question step by step.

We are told: A fair die is tossed.
That means it’s a standard 6-sided die with numbers: 1, 2, 3, 4, 5, 6 — each equally likely.

Total possible outcomes = 6

Probability of an event = (Number of favorable outcomes) / (Total outcomes)

We’ll simplify fractions if needed.

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1. What is the probability of rolling a 3?

Only one side has a 3 → favorable outcomes = 1
→ Probability = 1/6

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

“More than 4” means: 5 or 6 → that’s 2 outcomes
→ Probability = 2/6 = 1/3

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

“Less than 5” means: 1, 2, 3, 4 → that’s 4 outcomes
→ Probability = 4/6 = 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 = 3/6 = 1/2

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

Odd numbers: 1, 3, 5 → 3 outcomes
→ Probability = 3/6 = 1/2

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

Prime numbers between 1 and 6:
Remember: 1 is NOT prime (as noted in the image).
Primes: 2, 3, 5 → 3 outcomes
→ Probability = 3/6 = 1/2

*(Check: 2 is prime, 3 is prime, 5 is prime. 1 is not, 4 is not, 6 is not.)*

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

Favorable: 3 or 6 → 2 outcomes
→ Probability = 2/6 = 1/3

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

What’s an even prime? Only 2 is both even AND prime.
(All other even numbers >2 are divisible by 2, so not prime.)
→ Favorable outcome: just 2 → 1 outcome
→ Probability = 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 3rd grade probability worksheet.
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