
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 picks a card at random from fifteen cards numbered 1 through 15. The number on this card will indicate his starting point on the number line. He then spins a fair spinner with three congruent sectors, which has the instructions "move 2 spaces left", "move 2 spaces right", and "stay". From this new point, he spins the spinner again and follows the resulting instruction. What is the probability that he ends up at a multiple of 4 on the number line? Express your answer as a common fraction.

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