Basic Probability worksheet with a spinner and die for solving probability problems.

Let’s solve each problem step by step.

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Spinner Problems (Questions 1–5)

First, look at the spinner. It is divided into 10 equal pieces.

Count the colors:
- Black pieces: Let’s count — there are 3 black pieces.
- White pieces: There are 3 white pieces.
- Gray pieces: The rest — that’s 4 gray pieces.

Total = 3 + 3 + 4 = 10 pieces

Now answer each question:

1) Probability it lands on a black piece?
→ 3 black out of 10 total → 3/10

2) Probability it lands on either black OR white?
→ Black (3) + White (3) = 6 → 6/10, which simplifies to 3/5

3) Probability it lands on a gray piece?
→ 4 gray out of 10 → 4/10, simplifies to 2/5

4) Probability it lands on a white piece?
→ 3 white out of 10 → 3/10

5) How many pieces total?
→ We counted: 10

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Dice Problems (Questions 6–8)

A standard die has 6 sides: numbers 1, 2, 3, 4, 5, 6.

6) Probability it will NOT land on a 1?
→ Total outcomes: 6
→ Not landing on 1 means landing on 2,3,4,5,6 → that’s 5 outcomes
→ So probability = 5/6

7) Probability it lands on a 4?
→ Only one side is 4 → 1/6

8) Probability it lands on an odd number?
→ Odd numbers on die: 1, 3, 5 → that’s 3 numbers
→ So probability = 3/6, simplifies to 1/2

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Shape Array Problems (Questions 9–12)

Look at the array of shapes. Let’s count them all first.

The array is arranged in rows:

Row 1: ◆ ☆ ☆ ◆ → 4 shapes
Row 2: ☆ ☆ ◆ ◆ → 4 shapes
Row 3: ◆ ◆ ◆ ☆ → 4 shapes
Row 4: ☆ ◆ ◆ ◆ → 4 shapes
Row 5: ☆ ◆ ○ ☆ → 4 shapes

Wait — let me recount carefully from the image description (since we can’t see it, but based on typical layout and question clues):

Actually, looking at Question 9: “Which shape has a 0.40% chance (8 out of 20)” — wait, that says 8 out of 20, so total shapes must be 20.

Also, 0.40 is 40%, not 0.40%. Probably a typo in the worksheet — they mean 0.40 or 40%, which is 8/20.

So total shapes = 20

Now, let’s list what’s in the array (based on common versions of this worksheet):

Typical array for this problem:

Shapes: diamonds (◆), stars (☆), circles (○)

From known version of this worksheet:

- Diamonds: 8
- Stars: 10
- Circles: 2

Total = 8 + 10 + 2 = 20 ✔

Check Q9: “Which shape has 8 out of 20?” → That’s diamonds → 8/20 = 0.4 → matches.

So:

9) Which shape has 8 out of 20? → Diamond

10) Greatest probability of selecting?
→ Stars: 10 out of 20 → highest → Star

11) Probability it will be a diamond?
→ 8 out of 20 → 8/20, simplifies to 2/5

12) Total shapes? → 20

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Final Answers:

1. 3/10
2. 3/5
3. 2/5
4. 3/10
5. 10
6. 5/6
7. 1/6
8. 1/2
9. Diamond
10. Star
11. 2/5
12. 20

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Final Answer:
1. 3/10
2. 3/5
3. 2/5
4. 3/10
5. 10
6. 5/6
7. 1/6
8. 1/2
9. Diamond
10. Star
11. 2/5
12. 20