
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
There are two types of products with pass rates of 0.90 and 0.95, respectively. One item is taken from each for inspection. Calculate the probability that exactly one item fails the test.

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