Effect of Success Probability on Binary Decision Outcomes in Intelligent Systems: A Binomial Distribution Analysis
DOI:
https://doi.org/10.70715/jitcai.2026.v3.i3.066Keywords:
Binary decision outcomes, intelligent systems, binomial distribution, success probability, financial and accounting decision-making, banking and financial institutionsAbstract
Binary decision-making is central to finance and accounting functions in banks and financial institutions, where outcomes such as approval or rejection and allocation or non-allocation are executed under uncertainty. As intelligent systems increasingly support these decisions, understanding how success probability influences binary outcomes becomes critical. This study examines the effect of success probability on binary decision outcomes in intelligent systems using a binomial distribution framework.
A quantitative, explanatory research design was employed, with data collected from n = 312 finance and accounting decision-makers, including Chief Finance Officers, Accounting Managers, Department Heads, Accountants, Bookkeepers, and Treasury officers in Philippine banks and financial institutions. Logistic regression and binomial modeling were used to analyze the relationship between success probability and binary decisions.
Results show that success probability has a statistically significant positive effect on binary decision outcomes (β = 1.872, p < 0.001), indicating that higher probability levels substantially increase the likelihood of affirmative decisions. Decision consistency increased from 61.3% at low probability levels to 89.6% at high probability levels, while alignment with intelligent system recommendations rose from 58.7% to 92.4%. Mediation analysis revealed that decision threshold sensitivity partially mediates this relationship, with a reduced direct effect (β = 1.204, p < 0.01). Additionally, perceived success probability significantly predicts reliance on intelligent systems (β = 1.546, p < 0.001).
These findings provide empirical evidence of the magnitude and significance of probability-driven decision behavior, contributing to the application of binomial distribution in intelligent system–assisted financial decision-making and informing the design and governance of decision-support systems in financial institutions.
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