
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
Jeff randomly picks a card from twelve cards numbered 1 through 12. The number on this card indicates his starting point on a number line. He then spins a fair spinner with three sectors labeled "move 1 space left," "move 1 space right," and "move 2 spaces right." After moving according to his first spin, he spins again and moves accordingly. What is the probability that he ends up at a position greater than 10 on the number line? Express your answer as a common fraction.

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