Let's solve the probability problems step by step based on the image you provided.
---
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
---
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} $
---
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)
---
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)
---
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} $
---
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} $
---
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} $
---
✔ 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} $
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of probability grade 6 worksheet.