Probability worksheet using spinners to calculate chances of landing on specific numbers and letters.

Explanation:
Let’s solve each question step by step, using the two spinners shown.

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First spinner (top right):
It is divided into 8 equal sections. Let’s count how many of each number appear:

- Number 1: appears 2 times
- Number 2: appears 2 times
- Number 3: appears 2 times
- Number 4: appears 2 times

Total sections = 8
So each number has probability = 2/8 = 1/4.

Now answer questions 1–7:

1) Probability of landing on 1 or 3
→ P(1) + P(3) = 2/8 + 2/8 = 4/8 = 1/2

2) Probability of not landing on 3
→ Total − P(3) = 1 − 2/8 = 6/8 = 3/4

3) Probability of not landing on 2
→ 1 − P(2) = 1 − 2/8 = 6/8 = 3/4

4) Probability of landing on 1
→ 2/8 = 1/4

5) Probability of landing on 3
→ 2/8 = 1/4

6) Probability of landing on 4
→ 2/8 = 1/4

7) Probability of not landing on 3 or 4
→ That means landing on 1 or 2 only.
P(1 or 2) = 2/8 + 2/8 = 4/8 = 1/2

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Second spinner (bottom right):
It’s divided into 6 equal sections. Let’s list what’s in each section (going clockwise from top):

From the diagram:
Top → E
Then: C, B, E, A, C
Wait — better to count directly from image description: The spinner has labels: A, B, C, C, E, E
Let me verify:
The 6 sections are labeled:
- A
- B
- C
- C
- E
- E

Yes — that’s 6 sections total.

So counts:
- A: 1
- B: 1
- C: 2
- E: 2

Total = 6

Now answer questions 8–14:

8) Do you have an equal chance of landing on either B or C?
→ P(B) = 1/6, P(C) = 2/6 = 1/3
→ Not equal → No

9) Probability of not landing on B or E
→ That means landing on A or C only.
P(A or C) = 1/6 + 2/6 = 3/6 = 1/2

10) Do you have an equal chance of landing on either A or C?
→ P(A) = 1/6, P(C) = 2/6 → Not equal → No

11) Probability of landing on A or B
→ P(A) + P(B) = 1/6 + 1/6 = 2/6 = 1/3

12) Probability of not landing on B or C
→ That means landing on A or E only.
P(A or E) = 1/6 + 2/6 = 3/6 = 1/2

13) Do you have an equal chance of landing on either A or E?
→ P(A) = 1/6, P(E) = 2/6 → Not equal → No

14) Probability of not landing on E
→ Total − P(E) = 1 − 2/6 = 4/6 = 2/3

Let me double-check all:

1) 1 or 3 → 2+2 = 4/8 = 1/2 ✔
2) not 3 → 6/8 = 3/4 ✔
3) not 2 → 6/8 = 3/4 ✔
4) 1 → 2/8 = 1/4 ✔
5) 3 → 2/8 = 1/4 ✔
6) 4 → 2/8 = 1/4 ✔
7) not 3 or 4 → only 1 or 2: 4/8 = 1/2 ✔
8) B (1) vs C (2) → no ✔
9) not B or E → A (1) + C (2) = 3/6 = 1/2 ✔
10) A (1) vs C (2) → no ✔
11) A or B = 1+1 = 2/6 = 1/3 ✔
12) not B or C → A (1) + E (2) = 3/6 = 1/2 ✔
13) A (1) vs E (2) → no ✔
14) not E → 4/6 = 2/3 ✔

All correct.

Final Answer:
1) 1/2
2) 3/4
3) 3/4
4) 1/4
5) 1/4
6) 1/4
7) 1/2
8) No
9) 1/2
10) No
11) 1/3
12) 1/2
13) No
14) 2/3