
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
Ivan Semyonov is taking the Unified State Exam (USE) in mathematics. The exam consists of three types of tasks: A, B, and C. For each type A task, there are four possible answers, only one of which is correct. There are a total of 10 type A tasks. Tasks of types B and C require a detailed response. Because Ivan skipped classes frequently, his knowledge of mathematics is shallow. He answers type A tasks by choosing options at random. The first type B task Ivan solves with a probability of $\frac{1}{3}$. Ivan cannot solve any other tasks. For a correct answer to a type A task, he gets 1 point, and for a type B task, he gets 2 points. What is the probability that Ivan will score more than 5 points?

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