On the other hand, the prosecution needs to convince twelve jurors, the defense only needs to convince one.
Not necessarily. If the 11 and the 1 hold fast, then this results in a mistrial, not an acquittal; so really the defence needs to convince only 1 but every time, while the prosecution needs to convince all 12 but only once. (And in fact the 1 will be under enormous pressure from the 11 to convert before that point is reached.) ETA: Of course ‘every time’ is not forever; eventually the prosecution will give up.
Not necessarily. If the 11 and the 1 hold fast, then this results in a mistrial, not an acquittal; so really the defence needs to convince only 1 but every time, while the prosecution needs to convince all 12 but only once. (And in fact the 1 will be under enormous pressure from the 11 to convert before that point is reached.) ETA: Of course ‘every time’ is not forever; eventually the prosecution will give up.