
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
Cameron is analyzing the occurrence of three genetic traits, labeled as X, Y, and Z, within a group of women. The probability that a randomly selected woman in the group has only one specific trait (and no others) is 0.05. For any two of the three traits, the probability that a randomly selected woman has precisely these two traits (but not the third) is 0.08. The probability that a randomly selected woman has all three traits, given she has X and Y, is $\frac{1}{4}$. Calculate the number of women with none of the three traits in a group of 200.

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