
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
A sequence is formed by randomly arranging the numbers 1, 2, 3, 4, 5, 6, denoted as a, b, c, d, e, f. The probability that the product of a, b, and c plus the product of d, e, and f is even is \_\_\_\_\_\_.

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