Let’s solve each problem step by step. We’re dealing with
compound events — that means two things happening together, like rolling a die AND spinning a spinner (or flipping a coin AND picking a letter). To find the probability of both happening, we multiply the probabilities of each individual event.
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Problem 1:
What is the probability of rolling a 3 and spinning a red?
- A standard die has 6 sides → P(rolling a 3) = 1/6
- The spinner has 4 equal sections: red, yellow, green, blue → P(spinning red) = 1/4
- Multiply them: (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 → P(even) = 3/6 = 1/2
- Spinner: 4 colors → P(green) = 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 > 4 on a die: 5, 6 → that’s 2 out of 6 → P(>4) = 2/6 = 1/3
- Spinner: P(blue) = 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 > 2 on a die: 3, 4, 5, 6 → that’s 4 out of 6 → P(>2) = 4/6 = 2/3
- Spinner: P(yellow) = 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.
First, let’s look at the letters:
The image shows:
T U T
A M E
That’s 6 letters total: T, U, T, A, M, E → So there are
two T’s out of 6 letters → P(picking T) = 2/6 = 1/3
Coin flip: P(heads) = 1/2
Multiply: (1/2) × (1/3) =
1/6
✔ Final Answer for #5:
A. 1/6
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Final Answer:
1. C
2. C
3. C
4. B
5. A
Parent Tip: Review the logic above to help your child master the concept of compound event probability worksheet.
