Educated Officer

(A) (I) 2
[The Agency Character]
Investigator. Scientist.

Response: After an opponent's character is wounded, draw a card.

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If I play a mass wounding event like Catastrophic Explosion, I draw the amount of cards as there are wounded characters, right?

Assuming Educated Officer manages to survive the Catastrophic Explosion, then you could trigger the Response 0 to X times, where X is the number of wounds dealt to opponents. Each action to draw is triggered separately.