Asymptotic confidence interval for conditional probability at decision making

Consideration was given to construction of a unilateral asymptotic confidence interval for an unknown conditional probability of the event $A$ under the condition $B$. Analytical expressions for the boundaries of such interval were obtained for various a priori restrictions on the probabilities of the events $A$ and $B$ such that the probability of the event $B$ is separable from zero by a certain value, as well that there exists an upper a priori restriction on the probability of the event $A$. The interval estimates obtained were compared in precision.