
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
A quality controller checks products for standard compliance. It is known that the probability of a product meeting the standard is 0.95. Find the probability that:
a) Both of the two checked products will meet the standard, assuming the events of the products meeting the standard are independent.
b) Out of the two checked products, only one will meet the standard.

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