
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 bubble tea shop is planning to launch a promotional activity called "Rolling Dice to Win Vouchers". The game rules are as follows: After each purchase, customers can roll two dice at the same time and win first prize, second prize, third prize, or appreciation prize vouchers to be used for cash deductions in future purchases at the shop. Let event A be "rolling two consecutive numbers", event B be "rolling two of the same number", and event C be "rolling two numbers with the same parity but different values".

1. Arrange the three outcomes of rolling the dice in order of increasing probability, and assign them as conditions for winning the first, second, and third prizes, respectively.
2. Following the principle that everyone wins a prize, any remaining outcomes that do not meet the conditions for the first, second, or third prizes will be designated as appreciation prizes. Please determine the corresponding events for each prize level and calculate their respective probabilities.

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