
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 6 questions available, among which 4 are of type A and 2 are of type B. Student Zhang randomly selects 2 questions to solve.

(1) The probability that the 2 selected questions are both of type A;

(2) The probability that the 2 selected questions are not of the same type.

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