
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
Ava holds 2 green and 2 red jelly beans in her hand, and Ben holds 2 green, 3 yellow, and 3 red jelly beans in his hand. Each randomly picks a jelly bean to show the other, find the probability that the colors match.

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