Three students S₁, S₂, and S₃ are given a problem to solve. Consider the following events: U: At least one of S₁, S₂, and S₃ can solve the problem; V: S₁ can solve the problem, given that neither S₂ nor S₃ can solve the problem; W: S₂ can solve the problem and S₃ cannot solve the problem; T: S₃ can solve the problem. For any event E, let P(E) denote the probability of E. If P(U) = 1/2, P(V) = 1/10, and P(W) = 1/12, then P(T) is equal to