
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
Joe has a choice of four different fruits for his meals: an apple, an orange, a banana, or grapes. He picks one fruit randomly with equal probability at each meal (breakfast, lunch, and dinner). However, if Joe eats the same fruit in two subsequent meals (breakfast and lunch), he will pick a different fruit for dinner. What is the probability that Joe eats at least two different kinds of fruit in a day?

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