Probability of Simple Events worksheet for Grade 8 students, including problems on dice, cards, and spinners.

Let’s solve each problem step by step.

---

Activity 1

1. Probability of rolling an even number on a number cube (die)
A standard die has 6 sides: 1, 2, 3, 4, 5, 6.
Even numbers: 2, 4, 6 → that’s 3 outcomes.
Total possible outcomes = 6
Probability = favorable / total = 3/6 = 1/2

✔ Final answer for #1: 1/2

---

2. Probability of rolling a 9 on a number cube
A standard die only goes up to 6. There is no 9.
Favorable outcomes = 0
Total outcomes = 6
Probability = 0/6 = 0

✔ Final answer for #2: 0

---

3. Probability of picking a diamond from a standard deck of cards
Standard deck = 52 cards
Diamonds = 13 cards (Ace through King of diamonds)
Probability = 13/52 = 1/4

✔ Final answer for #3: 1/4

---

4. Probability of picking a non-diamond from a standard deck
Non-diamonds = total cards – diamonds = 52 – 13 = 39
Probability = 39/52 = 3/4
*(You can also think: if P(diamond) = 1/4, then P(not diamond) = 1 - 1/4 = 3/4)*

✔ Final answer for #4: 3/4

---

5. Spinner with 4 equal sections: blue=1, yellow=2, yellow=3, blue=4

So:
- Blue sections: 1 and 4 → 2 out of 4
- Not blue (yellow): 2 and 3 → 2 out of 4

P(blue) = 2/4 = 1/2
P(not blue) = 2/4 = 1/2

✔ Final answers for #5:
P(blue) = 1/2
P(not blue) = 1/2

---

Activity 2 — Carnival spinner with 8 equal sections:

Sections:
Red: 7
Purple: 8, 1
Yellow: 2, 3
Blue: 4, 5, 6

Wait — let’s list them clearly by color and number:

Looking at the image description (even though we don’t describe it, we use the info given):

The spinner has 8 equal sections labeled:

- Section 1: purple
- Section 2: yellow
- Section 3: yellow
- Section 4: blue
- Section 5: blue
- Section 6: blue
- Section 7: red
- Section 8: purple

But actually, based on typical such problems and the question asking about colors and numbers, let’s assume the labels are as written in the circle:

From the text: “contains 8 equal sections” and numbers 1 to 8 are shown, each in a colored section.

We need to know which numbers are in which color? But since the image isn't described here, we rely on common versions or logical deduction from questions.

Actually, looking at the questions:

> 1. What is the probability that the wheel will stop on a yellow section?

Assuming from standard problems like this, often:

Let’s suppose the spinner has:

- Yellow: sections 2 and 3 → 2 sections
- Odd numbers: 1,3,5,7 → 4 sections
- Numbers > 2: 3,4,5,6,7,8 → 6 sections
- Numbers < 9: all 8 sections (since max is 8)

This matches typical setups.

So:

1. Probability of stopping on yellow section
If yellow = sections 2 and 3 → 2 out of 8
Probability = 2/8 = 1/4

✔ Answer: 1/4

---

2. Probability of stopping on odd number (1,3,5,7)
Odd numbers: 1,3,5,7 → 4 numbers
Total sections: 8
Probability = 4/8 = 1/2

✔ Answer: 1/2

---

3. Probability of stopping on number greater than 2
Numbers > 2: 3,4,5,6,7,8 → that’s 6 numbers
Probability = 6/8 = 3/4

✔ Answer: 3/4

---

4. Probability of stopping on number less than 9
All numbers on spinner are 1 through 8 → all are less than 9
So 8 out of 8
Probability = 8/8 = 1

✔ Answer: 1

---

Final Answers:

──────────────────────────────────────

Final Answer:
Activity 1:
1. 1/2
2. 0
3. 1/4
4. 3/4
5. P(blue) = 1/2, P(not blue) = 1/2

Activity 2:
1. 1/4
2. 1/2
3. 3/4
4. 1