We obtain estimates for the distribution of the norm of the random trilinear form A : ℓ r M × ℓ p N × ℓ q K → ℂ , defined by A ( e i , e j , e k ) = a i j k , where the a i j k 's are uniformly bounded, independent, mean zero random variables. As an application, we make progress on the problem when ℓ r ⊗ ⌣ ℓ p ⊗ ⌣ ℓ q is a Banach algebra under the Schur multiplication.