Probability - Free Printable

Let's solve each question step by step based on the images and instructions provided.

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Question 1: What is the probability of pulling a black marble out of the bag?

Image Description:
The first bag contains:
- Black marbles: 4
- White marbles: 3
Total marbles = 4 + 3 = 7

Probability of pulling a black marble:
$$
P(\text{black}) = \frac{\text{Number of black marbles}}{\text{Total number of marbles}} = \frac{4}{7}
$$

✔ Answer: $ \frac{4}{7} $

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Question 2: What is the probability of pulling a white marble out of the bag?

Image Description:
Second bag:
- Black marbles: 1
- White marbles: 4
Total marbles = 1 + 4 = 5

Probability of pulling a white marble:
$$
P(\text{white}) = \frac{4}{5}
$$

✔ Answer: $ \frac{4}{5} $

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Question 3: What is the probability of pulling a black and white marble out of the bag?

This is ambiguous — does it mean one marble that is both black and white, or one black and one white (i.e., two marbles)?

But since we are pulling one marble, and no marble is both black and white, this is likely asking for the probability of pulling either a black or a white marble — but that would be 100%, since all marbles are either black or white.

However, looking at the image:
- The third bag has:
- Black marbles: 3
- White marbles: 3
- Striped marbles: 2 (not black or white)

So total marbles = 3 + 3 + 2 = 8

If "black and white" means a marble that is both black and white, then none exist → probability = 0.

Alternatively, if it's asking for the probability of pulling either a black or a white marble (i.e., not striped), then:

$$
P(\text{black or white}) = \frac{3 + 3}{8} = \frac{6}{8} = \frac{3}{4}
$$

But the phrasing “pulling a black and white marble” usually implies a single marble that is both, which is impossible.

Thus, the correct interpretation is: there are no marbles that are both black and white, so:

✔ Answer: $ 0 $ (impossible)

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Next Section: How likely are you to grab a red marble?

Image: A jar with:
- Red marbles: 5
- Blue marbles: 2
Total = 7

Red marbles are more numerous than blue, so:

✔ Answer: More likely

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How likely are you to grab a green marble?

Image: A jar with:
- Purple marbles: 9
- Green marbles: 3
Total = 12

Green marbles are fewer than purple, so:

✔ Answer: Less likely

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✔ Final Answers:

1. $ \frac{4}{7} $
2. $ \frac{4}{5} $
3. $ 0 $
4. More likely (red)
5. Less likely (green)

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Let me know if you'd like these written in words or simplified further!