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I don't think so. What makes you think that the chance to paralyze is higher for the bard? Observation? If so, I'd say it's random chance.
What should affect paralyzation is the enemies you are attacking. For example, you would see a difference if the bard was going after lizardmen and the other two were trying to stun yuan-ti.
One thing I have noticed is that incorporeal undead don't seem to be affected by the stun/paralysis effect of Chromatic Orb.
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