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Probability worksheet involving jelly beans in a bag, asking students to calculate the likelihood of picking specific colored beans.

A worksheet titled "Probability: Jelly Beans in a Bag" with a brown paper bag and jelly beans, featuring questions about probability calculations using fractions.

A worksheet titled "Probability: Jelly Beans in a Bag" with a brown paper bag and jelly beans, featuring questions about probability calculations using fractions.

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Show Answer Key & Explanations Step-by-step solution for: Probability: Jelly Beans | Worksheet | Probability ...
Let's solve the probability problems step by step based on the image you provided.

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Given:


There are 12 jelly beans in the paper bag.
The colors of the jelly beans are shown in a row:

```
Pink (P), Yellow (Y), Green (G), Pink (P), Yellow (Y), Green (G),
Yellow (Y), Green (G), White (W), Yellow (Y), White (W), Green (G)
```

Let’s count how many of each color there are:

- Pink (P): 2
- Yellow (Y): 4
- Green (G): 4
- White (W): 2

Total = 2 + 4 + 4 + 2 = 12

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Now, let’s go through each question:

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1. What is the probability of picking a white jelly bean?



Number of white jelly beans = 2
Total jelly beans = 12

$$
P(\text{white}) = \frac{2}{12} = \frac{1}{6}
$$

Answer: $ \frac{1}{6} $

---

2. What is the probability of picking a pink jelly bean?



Number of pink jelly beans = 2

$$
P(\text{pink}) = \frac{2}{12} = \frac{1}{6}
$$

Answer: $ \frac{1}{6} $

---

3. What is the probability of picking a green jelly bean?



Number of green jelly beans = 4

$$
P(\text{green}) = \frac{4}{12} = \frac{1}{3}
$$

Answer: $ \frac{1}{3} $

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4. What color is most likely to be picked?



We compare probabilities:

- White: $ \frac{1}{6} $
- Pink: $ \frac{1}{6} $
- Green: $ \frac{1}{3} $
- Yellow: $ \frac{4}{12} = \frac{1}{3} $

Both green and yellow have the highest probability ($ \frac{1}{3} $).

But since yellow has 4 beans and green has 4, they are tied.

So both yellow and green are equally most likely.

Answer: Yellow and green (or either one — both are equally likely)

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5. What color will you probably pick least often?



Pink and white both have 2 beans → $ \frac{2}{12} = \frac{1}{6} $

They are the least frequent.

Answer: Pink or white (both are equally least likely)

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6. What is the probability of picking a jelly bean that is not yellow?



Total jelly beans = 12
Yellow = 4
Not yellow = 12 - 4 = 8

$$
P(\text{not yellow}) = \frac{8}{12} = \frac{2}{3}
$$

Answer: $ \frac{2}{3} $

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7. What is the probability of picking a jelly bean that is not green?



Green = 4
Not green = 12 - 4 = 8

$$
P(\text{not green}) = \frac{8}{12} = \frac{2}{3}
$$

Answer: $ \frac{2}{3} $

---

8. What is the probability of picking a pink or yellow jelly bean?



Pink = 2
Yellow = 4
Total pink or yellow = 2 + 4 = 6

$$
P(\text{pink or yellow}) = \frac{6}{12} = \frac{1}{2}
$$

Answer: $ \frac{1}{2} $

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Bonus Question:


> If you added 3 more green and 1 more white jelly bean to the paper bag, what is the probability of picking a green bean?

Original:
- Green = 4
- White = 2

After adding:
- Green = 4 + 3 = 7
- White = 2 + 1 = 3
- Total jelly beans = 12 + 3 + 1 = 16

$$
P(\text{green}) = \frac{7}{16}
$$

Answer: $ \frac{7}{16} $

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Final Answers Summary:



1. $ \frac{1}{6} $
2. $ \frac{1}{6} $
3. $ \frac{1}{3} $
4. Yellow and green
5. Pink or white
6. $ \frac{2}{3} $
7. $ \frac{2}{3} $
8. $ \frac{1}{2} $
Bonus: $ \frac{7}{16} $

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Parent Tip: Review the logic above to help your child master the concept of probability grade 6 worksheet.
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