
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Alice holds 2 green and 2 red jelly beans, while Charlie holds 2 green, 3 yellow, and 1 red jelly bean. Each randomly selects one jelly bean to show the other. What is the probability that the jelly beans they show to each other are the same color?
A) $\frac{1}{8}$
B) $\frac{1}{6}$
C) $\frac{1}{4}$
D) $\frac{1}{3}$

Present the answer in LaTex format: \boxed{Your answer}
user