ambidexterity

n. ability to use both right and left hands with equal ease

Cross-dominance, also known as mixed-handedness, is a motor skill manifestation where a person favors one hand for some tasks and the other hand for others, while not necessarily being ambidextrous (two-handed), such as someone that writes with a left hand and grabs with the right.It can also refer to mixed laterality, which refers to a person favoring eyes, ears, feet, or hands on opposite sides of the body. Cross-dominance can often be a problem when shooting or in activities that require aim.
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Am·bi·dex·ter·i·ty or am·bi·dex·trism n. The state or quality of being ambidextrous. ambidexterity Neurology The ability to perform tasks requiring [more]Ambidexterity - Community and Resources

Noun
1. the property of being equally skillful with each hand
(synonym) ambidextrousness
(hypernym) handedness, laterality

(n.)
Versatility; general readiness; as, ambidexterity of argumentation.
  

(n.)
The quality of being ambidextrous; the faculty of using both hands with equal facility.
  

(n.)
Double-dealing.
  

(n.)
A juror's taking of money from the both parties for a verdict.