Basic Probability Worksheet | Grade1to6 - Free Printable

Sure! Let’s solve each problem step by step. We are working with a standard six-sided die, which has faces numbered 1, 2, 3, 4, 5, and 6.

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Basic Probability Formula:

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

For a single die, total possible outcomes = 6

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## 1) Find the probability of rolling a 4 or smaller.

Favorable outcomes: numbers ≤ 4 → 1, 2, 3, 4 → 4 outcomes

✔ Probability = 4/6 = 2/3

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## 2) Find the probability of rolling factors of 12.

First, list factors of 12: 1, 2, 3, 4, 6, 12

But die only shows up to 6 → so valid factors on die: 1, 2, 3, 4, 6 → 5 outcomes

✔ Probability = 5/6

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## 3) Find the probability of rolling a divisor of 30.

Factors (divisors) of 30: 1, 2, 3, 5, 6, 10, 15, 30

On die (≤6): 1, 2, 3, 5, 6 → 5 outcomes

✔ Probability = 5/6

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## 4) List all possible outcomes from rolling a die.

Standard die: 1, 2, 3, 4, 5, 6

✔ Answer: 1, 2, 3, 4, 5, 6

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## 5) Find the probability of rolling less than a 4.

Less than 4 → 1, 2, 3 → 3 outcomes

✔ Probability = 3/6 = 1/2

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## 6) Find the probability of rolling a divisor of 12.

This is the same as question #2!

Divisors of 12 on die: 1, 2, 3, 4, 6 → 5 outcomes

✔ Probability = 5/6

*(Note: Question 2 and 6 are identical — likely a repetition in the worksheet.)*

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## 7) Find the probability of rolling an even prime number.

Prime numbers: 2, 3, 5, 7, 11, ...

Even prime number? Only 2 is even and prime.

On die: only 2 qualifies → 1 outcome

✔ Probability = 1/6

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## 8) Find the probability of rolling a divisor of 20.

Divisors of 20: 1, 2, 4, 5, 10, 20

On die (≤6): 1, 2, 4, 5 → 4 outcomes

✔ Probability = 4/6 = 2/3

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## 9) Find the probability of rolling factors of 20.

Same as question #8 — “factors” and “divisors” mean the same thing here.

So again: 1, 2, 4, 5 → 4 outcomes

✔ Probability = 4/6 = 2/3

*(Again, likely a repeat — perhaps to reinforce the concept.)*

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## 10) Find the probability of rolling factors of 120.

List factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

On die (≤6): 1, 2, 3, 4, 5, 6 → all 6 outcomes!

✔ Probability = 6/6 = 1

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## ✔ Final Answers:

1) 2/3
2) 5/6
3) 5/6
4) 1, 2, 3, 4, 5, 6
5) 1/2
6) 5/6
7) 1/6
8) 2/3
9) 2/3
10) 1

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Let me know if you’d like these answers formatted for printing or turned into a worksheet key! 😊