
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
If the probability of student A correctly guessing the idiom is 0.4 and the probability of student B correctly guessing the idiom is 0.5, and it is stipulated that a correct guess scores 1 point and an incorrect guess scores 0 points, calculate the expected value of their total score, $X$ (in points), if these two students each make one guess.

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