Worksheet featuring six probability word problems designed to help students understand the concept of probability as a number between 0 and 1, covering scenarios like selecting balls, rolling dice, drawing names, solving equations, picking cards, and using a spinner.

Let’s solve each problem step by step.

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Problem 1:
Six balls numbered 1 to 6. Pick one at random. What’s the probability it’s odd?

Odd numbers between 1 and 6: 1, 3, 5 → that’s 3 numbers.
Total balls: 6
Probability = 3/6 = 1/2

✔ Answer: [B] 1/2

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Problem 2:
Roll a fair six-sided die. Probability of getting a number greater than 4?

Numbers > 4 on a die: 5, 6 → that’s 2 numbers.
Total outcomes: 6
Probability = 2/6 = 1/3

✔ Answer: [A] 1/3

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Problem 3:
You’re one of 30 people in a contest. What’s the chance your name is drawn first?

Only 1 person gets picked first out of 30.
So probability = 1/30

✔ Answer: [C] 1/30

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Problem 4:
Set: {0, 1, 2, 3, 4, 5, 6, 7, 8} → total 9 numbers.
Find how many satisfy: 3x + 1 < 13

Solve inequality:
3x + 1 < 13
→ 3x < 12
→ x < 4

So x can be: 0, 1, 2, 3 → that’s 4 numbers.

Probability = 4/9

✔ Answer: [B] 4/9

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Problem 5:
Deck of 52 cards. Probability of drawing a spade?

There are 13 spades in a deck (one for each rank).
Total cards: 52
Probability = 13/52 = 1/4

✔ Answer: [D] 1/4

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Problem 6:
Spinner has 8 sections with numbers: 64, 24, 22, 54, 36, 18, 10, 12

We need probability spinner lands on a number that is a multiple of both 3 and 4.

That means multiple of LCM(3,4) = 12.

Check which numbers are multiples of 12:

- 64 ÷ 12 = 5.33… → no
- 24 ÷ 12 = 2 → yes ✔
- 22 ÷ 12 ≈ 1.83 → no
- 54 ÷ 12 = 4.5 → no
- 36 ÷ 12 = 3 → yes ✔
- 18 ÷ 12 = 1.5 → no
- 10 ÷ 12 ≈ 0.83 → no
- 12 ÷ 12 = 1 → yes ✔

So favorable: 24, 36, 12 → 3 numbers
Total sections: 8
Probability = 3/8

✔ Answer: [C] 3/8

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Problem 7:
Joseph has:
- 2 pairs white socks → 4 individual white socks
- 4 pairs black socks → 8 individual black socks
- 1 pair blue socks → 2 individual blue socks

Total socks = 4 + 8 + 2 = 14 socks

He picks one sock at random. Want probability it’s black.

Black socks: 8
Total socks: 14
Probability = 8/14 = 4/7

✔ Answer: [C] 4/7

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Final Answer:
1. [B]
2. [A]
3. [C]
4. [B]
5. [D]
6. [C]
7. [C]