Let’s solve each problem one at a time, step by step.
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Problem 1:
Ricardo has a spinner with 4 equal sections: red, yellow, blue, green.
So, probability of spinning red = 1 out of 4 →
1/4
He also has a bag with:
- 2 red marbles
- 3 green marbles
- 3 blue marbles
Total marbles = 2 + 3 + 3 =
8
Probability of picking a red marble = 2 out of 8 →
2/8 = 1/4
We want the probability that BOTH happen: spin red AND pick red marble.
Since these are independent events, we multiply:
→ (1/4) × (1/4) =
1/16
✔ Final Answer for Problem 1:
B) 1/16
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Problem 2:
Bag has:
- Red marbles: let’s count from image — there are 3 red
- Blue marbles: 4 blue (from image)
Total = 7 marbles
First, pick a blue marble → probability = 4/7
Then, put it back → so total is still 7
Then, pick a red marble → probability = 3/7
Multiply because both must happen in order:
→ (4/7) × (3/7)
Look at options:
A) 4/7 × 4/7 → no
B) 3/7 × 3/7 → no
C) 4/7 × 3/6 → wrong denominator on second part
D) 4/7 × 3/7 → YES!
✔ Final Answer for Problem 2:
D) 4/7 × 3/7
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Problem 3:
Coin toss: two outcomes — heads or tails → P(tails) = 1/2
Number cube (die): numbers 1 to 6 → P(rolling a 3) = 1/6
We want both: coin shows tails AND die shows 3.
Multiply probabilities:
→ (1/2) × (1/6) =
1/12
✔ Final Answer for Problem 3:
C) 1/12
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Final Answers:
1. B
2. D
3. C
Parent Tip: Review the logic above to help your child master the concept of compound event probability worksheet.
