This paper extend application of the mathematical expectation to nonlinear crosslinking reaction of multi-composition systems. The relationship between reaction probability and some properties such as sol fraction were studied by the expectation method. The general conditions of gelation for the system were derived by summing

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and conditions of gelation up as a simple calculation of matrix in which every matrix element can be written directly

whose physics are clear and certain according to our expectation method.

As a application of these results

we have derived average properties of di-composition polymer blend system and discussed relationship between the molecular weight(

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) of sol as well as sol fraction and radiation dose

and relationship between gel fraction as well as gel point and compositions of the systems. The relationship between sol fraction and reaction probability for the blend system with the Flory distribution were established.