Final answer:
The item in The Binding of Isaac game that provides a +2 Damage Up for tears fired from Isaac's left eye and has a special effect that grants a 50% chance for each shot to deal +2 Damage when an item modifies the eye from which tears are fired is The Wiz.
Step-by-step explanation:
The item in The Binding of Isaac game that provides a +2 Damage Up for tears fired from Isaac's left eye and has a special effect that grants a 50% chance for each shot to deal +2 Damage when an item modifies the eye from which tears are fired is The Wiz. The Wiz allows Isaac to fire tears simultaneously from both eyes but in a diagonal pattern. The +2 Damage Up only applies to tears fired from Isaac's left eye.