Where the State is subject to liability by virtue of this Act, the law relating to indemnity and contribution shall be enforceable-

(a) against the State by an employee of the State who is acting in the proper execution of his duties in respect of the liability or by any other person in respect of the liability to which that person is subject; or

(b) by the State against any person other than an employee of the State, in respect of the liability to which it is subject, as if the State were a private person of full age and capacity.