
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
The user has three computer disks from companies $\mathrm{K}$, $\mathrm{L}$, and $\mathrm{M}$, one disk from each of these companies, but the company stamps on the disks are absent. Two out of the three disks are defective. What is the probability that the defective disks are from companies $\mathrm{L}$ and $\mathrm{M}$, given that the defect rates for companies $\mathrm{K}$, $\mathrm{L}$, and $\mathrm{M}$ are $10\%$, $20\%$, and $15\%$, respectively?

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