I don't think one example is enough to assess whether the person has an anger problem.
If he smacked the sibling in jest to get back at him for the gag, and only unintentionally hurt him because of the cardboard, I don't think he has an anger problem.
If he was genuinely angry and meant to smack him good, then I'd say maybe he has an anger problem, but also not necessarily. Just because someone wants to play a joke on you, doesn't mean you will take it well. Even if it is Christmas.
Hope that helped, not sure what the point of this question was though.
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Whether we write or speak or do but look
We are ever unapparent. What we are
Cannot be transfused into word or book.
Our soul from us is infinitely far.
However much we give our thoughts the will
To be our soul and gesture it abroad,
Our hearts are incommunicable still.
In what we show ourselves we are ignored.
The abyss from soul to soul cannot be bridged
By any skill of thought or trick of seeming.
Unto our very selves we are abridged
When we would utter to our thought our being.
We are our dreams of ourselves, souls by gleams,
And each to each other dreams of others' dreams.
Fernando Pessoa, 1918
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