Let’s solve each problem step by step.
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Problem 1: What is the probability of rolling a 3 and spinning a red?
- A standard die has 6 sides → Probability of rolling a 3 =
1/6
- The spinner has 4 equal sections (red, yellow, green, blue) → Probability of spinning red =
1/4
- Since these are independent events, multiply the probabilities:
> (1/6) × (1/4) =
1/24
✔ Final Answer for #1:
C) 1/24
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Problem 2: What is the probability of rolling an even number and spinning green?
- Even numbers on a die: 2, 4, 6 → that’s 3 out of 6 → Probability =
3/6 = 1/2
- Spinner: 4 sections → green is 1 section → Probability =
1/4
- Multiply:
> (1/2) × (1/4) =
1/8
✔ Final Answer for #2:
C) 1/8
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Problem 3: What is the probability of rolling a number greater than 4 and spinning blue?
- Numbers greater than 4 on a die: only 5 and 6 → that’s 2 out of 6 → Probability =
2/6 = 1/3
- Spinner: blue is 1 out of 4 → Probability =
1/4
- Multiply:
> (1/3) × (1/4) =
1/12
✔ Final Answer for #3:
C) 1/12
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Problem 4: What is the probability of rolling a number greater than 2 and spinning yellow?
- Numbers greater than 2 on a die: 3, 4, 5, 6 → that’s 4 out of 6 → Probability =
4/6 = 2/3
- Spinner: yellow is 1 out of 4 → Probability =
1/4
- Multiply:
> (2/3) × (1/4) =
2/12 = 1/6
✔ Final Answer for #4:
B) 1/6
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Problem 5: What is the probability of flipping the coin and getting heads up, then getting a T from the group of letters.
- Coin flip: heads or tails → Probability of heads =
1/2
- Letters shown: T, U, T, A, M, E → total 6 letters
- How many T’s? Two T’s → Probability of picking a T =
2/6 = 1/3
- These are independent events → multiply:
> (1/2) × (1/3) =
1/6
✔ Final Answer for #5:
A) 1/6
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Final Answer:
1. C) 1/24
2. C) 1/8
3. C) 1/12
4. B) 1/6
5. A) 1/6
Parent Tip: Review the logic above to help your child master the concept of compound events probability worksheet.
