The whole HTML5/video codec/Flash story is long and complicated.
HTML5 actually doesn't even say which codecs should be used by browsers (although the initial draft did), so technically the question is a bit flawed. Firefox does support both webm and ogv codecs, however. Read here, nice and clear explanation on the topic:
http://www.programmerinterview.com/index.php/html5/html5-video-codecs/

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