
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

It is known that in 3 out of 250 cases, twins are born, and in one out of three of these cases, the twins are identical (monozygotic) twins. What is the a priori probability that a particular pregnant woman will give birth to twins - a boy and a girl?

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