
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 will pick 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 will then spin the fair spinner, which has four congruent sectors labeled as "move 1 space left," "move 1 space right," "move 1 space right," and "move 2 spaces right." From this new point, he will spin the spinner again and follow the resulting instruction. What is the probability that he ends up at a multiple of 3 on the number line? Express your answer as a common fraction.

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