
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
There are two bags, bag A and bag B. Bag A contains 2 white balls and 3 red balls, while bag B contains 2 red balls and 1 white ball. These 8 balls are indistinguishable except for their colors. Now, a ball is randomly taken from bag A and put into bag B. After mixing the balls in bag B, another ball is randomly taken from bag B, and calculate the probability of getting a red ball.

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