
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
In a new medical study, Karen is examining the occurrence of three risk factors, denoted by D, E, and F, in a group of women. For each of these factors, the probability that a randomly selected woman has only this risk factor (excluding the others) is 0.08. For any two out of the three factors, the probability that a randomly selected woman has precisely these two risks (excluding the third) is 0.2. The probability that a randomly selected woman has all three risk factors, given she has D and E, is $\frac{1}{4}$. It's also known that 5% of the women have none of these risk factors. Calculate the probability that a woman has none of the three risk factors given she does not have risk factor D.

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