This study is based on the analysis of non-associativity in the hypercompositional algebraic structure of chain reaction and to discover the 'algebraic-behavior' of the elements using the probability of some non-associative properties. It was discovered that the hypercompositional algebraic structure that is represented in the chain reaction is non-associative. In addition, the 'algebraic-behavior' of each element based on the non-associative properties was analyzed, and elements with high, higher and highest probabilities were identified in the chain reaction. Some of the elements were found to be right nuclear, flexible, left alternative and right alternative. It was shown that the chain reaction structure has equal likelihood of being left nuclear or middle nuclear or right nuclear. Also, chain reaction structure was established to have equal likelihood of being flexible or left alternative. It was discovered that the chain reaction structure is more likely to be flexible or left alternative than being left nuclear or middle nuclear or right nuclear or right alternative. It was also discovered that the chain reaction structure is more likely to be right alternative than being left nuclear or middle nuclear or right nuclear. The differences in probabilities form the increasing sequence \( 0.0 < 0.008 < 0.08 < 0.088 \).