Stupidity: Unless Snow has solid proof like pictures or video why should Katniss believe her main enemy's word that it was Alma Coin, not him, who killed those kids?
Suggested correction: Snow points out to Katniss that it wouldn't benefit him and he wouldn't do it just for revenge, and she believes that because it fits what she knows about his character. Also, she suspects Coin to be far more scrupulous and power-hungry than she seems. And the incident did turn most people, even of the Capitol, against Snow, so it worked indeed in favour of the rebellion. So, it makes far more sense to her that it was Coin than Snow.
Suggested correction: This is a question and not a stupidity. Katniss didn't just accept Snow at his word. Earlier Gale had mentioned an attack strategy to inflict maximum casualties on medics that matched the attack on the Capitol. Then Gale could not deny his part in Prim's death. All the evidence pointed to Coin being responsible as Snow suggested.
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