Let’s solve each question one by one with clear explanations.
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Question 1:
> Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner
and picks a red marble out of the bag?
✔ Step 1: Analyze the spinner.
The spinner is divided into 4 equal sections: red, yellow, blue, green.
→ So, probability of spinning
red =
1/4
✔ Step 2: Analyze the marbles.
Total marbles = 2 red + 3 green + 3 blue =
8 marbles
→ Probability of picking a
red marble = 2/8 =
1/4
✔ Step 3: Since both events must happen (AND), multiply the probabilities.
P(red spin AND red marble) = (1/4) × (1/4) =
1/16
✔ Answer: D) 1/16
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Question 2:
> How many outcomes are there with tossing a coin and rolling a die?
✔ A coin has
2 outcomes: Heads or Tails.
✔ A standard die has
6 outcomes: 1, 2, 3, 4, 5, 6.
✔ Since these are independent events, total outcomes = 2 × 6 =
12
✔ Answer: D) 12
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Question 3:
> What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?
✔ First, count the marbles from the image:
Looking at the bag: There are
4 blue and
3 red marbles → Total = 7 marbles
✔ “Putting it back” means this is
with replacement, so probabilities don’t change.
→ P(blue first) = 4/7
→ P(red second) = 3/7
✔ Since both must happen (AND), multiply:
(4/7) × (3/7)
✔ Answer: C) 4/7 × 3/7
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Question 4:
> If you spin two times, what is the probability of landing on green both times?
✔ Look at the spinner: It’s divided into 6 equal sections.
Colors: Blue, Red, Green, Yellow, Red, Blue → So green appears
once.
→ P(green on one spin) = 1/6
✔ Spinning twice, independently, and wanting green both times:
P(green both times) = (1/6) × (1/6) =
1/36
⚠️ But wait — the question doesn’t list answer choices for #4 in your image. However, since you only asked to solve the problem, we’ll state the correct probability.
✔ Final Answer for Q4: 1/36
*(Note: If the spinner had more green sections, the probability would change. Based on the image, green appears only once out of six.)*
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✔ Final Answers:
1.
D) 1/16
2.
D) 12
3.
C) 4/7 × 3/7
4.
1/36 (not listed in options, but mathematically correct based on image)
Let me know if you want help with questions 5–10 too!
Parent Tip: Review the logic above to help your child master the concept of probability worksheet 6.
