
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
During the Mid-Autumn Festival, a supermarket held a promotional event where customers who spent more than 200 yuan had a chance to win a prize. Customers who won received a 5 yuan red envelope, while those who did not win received nothing. Four customers each had one chance to win, and the probability of each customer winning was 0.4. Let X represent the total amount of red envelopes won by the four customers. Calculate P(10≤X≤15).

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