Probability worksheet with marbles and book color analysis for educational use.

Let's solve the probability problem step by step based on the image you provided.

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Step 1: Understanding the Bag of Marbles

We are given a bag with marbles of different colors. The image shows:

- Red marbles: 4
- Green marbles: 3
- Purple marbles: 2
- White marbles: 1

So, total number of marbles in the bag:
$$
4 + 3 + 2 + 1 = 10 \text{ marbles}
$$

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Step 2: Answering the First Question

> Which kind of marble is *most* likely to be picked from the bag?

The marble with the highest count is red (4 out of 10), so it is most likely to be picked.

✔ Answer: Red

> Which kind of marble is *least* likely to be picked from the bag?

The marble with the lowest count is white (1 out of 10), so it is least likely.

✔ Answer: White

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Step 3: Looking at the Table – Kinds of Snacks in a Snack Bag

Now we analyze the snack table:

| Snack | Apple | Pear | Cracker | Cookie | Pretzel |
|-----------|-------|------|---------|--------|---------|
| Count | 9 | 1 | 5 | 2 | 1 |

Total snacks:
$$
9 + 1 + 5 + 2 + 1 = 18 \text{ snacks}
$$

> Which kind of snack is most likely to be picked?

The snack with the highest count is Apple (9 out of 18).

✔ Answer: Apple

> Which kind of snack is least likely to be picked?

Both Pear and Pretzel have only 1 each, so they are equally least likely.

But since the question asks for "which kind", and both have same count, we can say either one.

✔ Answer: Pear or Pretzel (both are equally least likely)

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Step 4: Chart – Probability Questions

Now, look at the chart:

| Marble in the bag | Which color marble is most likely to be picked? | Which color marble is least likely to be picked? | Which color marble is as likely to be picked as a green marble? |
|-------------------|--------------------------------------------------|--------------------------------------------------|------------------------------------------------------------------|
| Red | | | |
| Green | | | |
| Purple | | | |
| White | | | |

We already know:
- Most likely: Red
- Least likely: White
- Green has 3 marbles. We need to find which other color has the same number (3) — but looking at counts:
- Red: 4
- Green: 3
- Purple: 2
- White: 1

No other color has 3 marbles. So no other marble is equally likely as green.

Wait — this might be a trick.

But let’s double-check: Is there any other marble with 3?

Only green has 3.

So no other color has the same count.

But perhaps the question means: “Which marble has the same chance as green?”

Probability of picking green:
$$
\frac{3}{10}
$$

Is any other color also $ \frac{3}{10} $? No.

So none.

But maybe the question is asking: “Which color has the same number of marbles as green?” → Only green itself.

But that would make the answer "none" or "itself".

But let’s re-read:
> "Which color marble is as likely to be picked as a green marble?"

This means: Which color has the same probability as green?

Since green has 3/10, and no other color has 3, no other color has the same probability.

But wait — maybe the question expects us to notice something else.

Alternatively, could it be a typo or misinterpretation?

Wait — perhaps the question is asking: “Which color is as likely as green?” meaning equally probable?

Again, only green has 3.

So none of the others are as likely.

But let’s check if any other color has same count — no.

So the answer should be: None

But maybe the question allows for "green" itself? But that would be trivial.

Alternatively, perhaps the table is meant to be filled in for each row?

Wait — the table has rows for each color, and columns for questions.

Let’s interpret it correctly.

It says:

For each color (Red, Green, Purple, White), fill in:

1. Which color is most likely?
2. Which is least likely?
3. Which is as likely as this one?

So we need to fill in the entire table, not just one row.

Let’s do that.

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Filling in the Table

#### For Red (4 marbles):
- Most likely: Red ✔
- Least likely: White ✔
- As likely as red? Red has 4. No other color has 4 → None

#### For Green (3 marbles):
- Most likely: Red ✔
- Least likely: White ✔
- As likely as green? Green has 3. No other color has 3 → None

#### For Purple (2 marbles):
- Most likely: Red ✔
- Least likely: White ✔
- As likely as purple? Purple has 2. No other color has 2 → None

#### For White (1 marble):
- Most likely: Red ✔
- Least likely: White ✔
- As likely as white? White has 1. Only pear and pretzel in snacks had 1, but here only white has 1 → None

Wait — actually, in the marble bag, only white has 1.

So no other color has 1.

So for all rows, the third column ("as likely") should be none.

But let’s think again.

Is there a possibility that purple and green are close? No — different counts.

But maybe the question wants us to compare probabilities.

Alternatively, perhaps the question means: “Which color has the same number as green?” → None.

But maybe it's expecting no answer.

Alternatively, could it be a mistake?

Wait — perhaps purple has 2, green has 3 — not equal.

So no.

But let’s consider: Are any two colors equally likely?

No — all counts are different: 4, 3, 2, 1 → all distinct.

So no two colors have the same probability.

Thus, no color is as likely as green.

So for all rows, the third column is none.

But let’s now go back to the original worksheet and see what the format expects.

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Final Answers

#### Part 1: Marbles
- Most likely to be picked: Red
- Least likely to be picked: White

#### Part 2: Snacks
- Most likely to be picked: Apple
- Least likely to be picked: Pear or Pretzel (both have 1)

#### Part 3: Fill the Table

| Marble in the bag | Which color marble is most likely to be picked? | Which color marble is least likely to be picked? | Which color marble is as likely to be picked as a green marble? |
|-------------------|--------------------------------------------------|--------------------------------------------------|------------------------------------------------------------------|
| Red | Red | White | None |
| Green | Red | White | None |
| Purple | Red | White | None |
| White | Red | White | None |

> Note: Since no other color has 3 marbles like green, no marble is equally likely.

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✔ Final Summary

- Most likely marble: Red
- Least likely marble: White
- Most likely snack: Apple
- Least likely snack: Pear or Pretzel
- Table filled as above.

Let me know if you'd like this formatted as a printable answer sheet!