Probability quiz featuring questions on selecting candies, rolling dice, drawing marbles, and spinning a wheel.

Here is the step-by-step solution to each of the 5 probability questions from the worksheet:

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Question 1:
> The following M & M colors are in the bowl: 4 yellow, 6 orange, 3 green, 5 blue, 2 brown. What is the probability of selecting a brown candy?

✔ Step 1: Find the total number of candies.
Total = 4 (yellow) + 6 (orange) + 3 (green) + 5 (blue) + 2 (brown) = 20

✔ Step 2: Number of favorable outcomes (brown candies) = 2

✔ Step 3: Probability = Favorable / Total = 2 / 20

✔ Step 4: Simplify: 2/20 = 1/10

✔️ Correct Answer: A. 1/10

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Question 2:
> What is the probability of rolling an even number on a dice. The dice is numbered 1–6.

✔ Step 1: List all possible outcomes: {1, 2, 3, 4, 5, 6} → 6 total outcomes

✔ Step 2: Even numbers: {2, 4, 6} → 3 favorable outcomes

✔ Step 3: Probability = 3 / 6 = 1/2

✔️ Correct Answer: C. 1/2

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Question 3:
> Based on the chart, what is the probability of pulling a green marble?

The table shows:
- Red: 7
- Blue: 1
- Yellow: 5
- Purple: 6
- Green: 8
- Orange: 4

✔ Step 1: Total marbles = 7 + 1 + 5 + 6 + 8 + 4 = 31

Wait — that doesn’t match any answer choices. Let’s double-check.

Actually, looking at the answer choices: B is 8/25, D is 8/100, etc.

Let’s re-add:

7 (Red)
+ 1 (Blue) = 8
+ 5 (Yellow) = 13
+ 6 (Purple) = 19
+ 8 (Green) = 27
+ 4 (Orange) = 31

Hmm — 31 isn't matching any denominator.

But wait — perhaps the table was meant to be read as frequencies from 25 trials? Or maybe there's a typo in the image or question.

Looking again at the options:

A. 7/8 — too big
B. 8/25 — possible
C. 1/8 — too small
D. 8/100 — too small

If we assume the total number of trials or marbles is 25, then:

Let’s check: 7 + 1 + 5 + 6 + 8 + 4 = 31 → not 25.

Wait — maybe the “Table for the fourth question added to 12-6” note means something else? Possibly a misprint.

But if we look at the green count = 8, and option B is 8/25, perhaps the total is intended to be 25.

Alternatively — maybe the table is showing results from 25 draws? But 7+1+5+6+8+4=31, which is more than 25.

This seems like a possible error in the worksheet.

However, since 8 green is given, and 8/25 is an option, and 25 is a common total in such problems, and none of the other options make sense with total 31 (like 8/31 isn't listed), it’s likely the intended total is 25, perhaps with a typo in the table.

Alternatively — maybe “added to 12-6” means something else? Not clear.

Given the options, the most reasonable choice is B. 8/25, assuming the total is 25.

But strictly mathematically, with the numbers given, it should be 8/31, which isn’t an option.

Since this is a multiple-choice quiz, and 8/25 is the only option with numerator 8 and a plausible denominator, and 25 is a round number often used, we’ll go with:

✔️ Best Available Answer: B. 8/25

*(Note: There may be an error in the worksheet.)*

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Question 4:
> What is the probability of getting any letter that is not A?

The spinner has 8 equal sections:

- A appears in 2 sections
- B: 1
- C: 1
- E: 2
- F: 1
- (and one more? Let’s count: A, A, B, C, E, E, F — that’s 7. Wait, the image shows 8 sections.)

Looking at the image description: it’s divided into 8 equal parts.

From the labels shown: A, A, B, C, E, E, F — that’s 7. Probably there’s another section — maybe another E or F? But in the diagram, it looks like 8 sections.

Assuming the spinner has 8 equal sections, and A appears in 2 of them, then:

✔ Number of sections NOT A = 8 - 2 = 6

✔ Probability = 6/8 = 3/4

✔️ Correct Answer: B. 3/4

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Question 5:
> A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

✔ Step 1: Total marbles = 2 (pink) + 6 (red) + 4 (blue) = 12

✔ Step 2: Red or blue = 6 + 4 = 10

✔ Step 3: Probability = 10 / 12 = 5/6

Wait — but 5/6 is not among the answer choices! Let’s check the question again.

The question says: “what is the probability that the marble you pick will be red or blue?”

And the choices are not shown for Q5 in your text — but in the original image, they probably are.

Since you didn’t provide the options for Q5, I’ll calculate it anyway.

✔ Final Answer: 10/12 = 5/6

If the options were provided, 5/6 would be correct.

But since you only showed up to Q4 in the text, and Q5’s options aren’t listed, I’ll assume you want the calculation.

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## ✔ Final Answers:

1. A. 1/10
2. C. 1/2
3. B. 8/25 *(assuming intended total is 25, despite table summing to 31)*
4. B. 3/4
5. 5/6 *(if options include it; otherwise, check if simplified form matches)*

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Let me know if you’d like clarification on any step or if you can provide the options for Question 5!