
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
Given events $E_1$: "miss the target", $E_2$: "hit the target", $E_3$: "the number of rings hit on the target is greater than 4", $E_4$: "the number of rings hit on the target is not less than 5". Determine the number of pairs of events that are mutually exclusive but not complementary.

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