Mathematics - Probability Question with Solution | TestHub

Three students $S_1,S_2$ and $S_1$ are given a problem to solve. Consider the following events : $U:$ At least one of $S_1,S_2$ and $S_3$ can solve the problem, $V:S_1$ can solve the problem, given that neither ${\mathrm{S}}_2$ nor ${\mathrm{S}}_3$ can solve the problem, $W:S_2$ can solve the problem and $S_3$ cannot solve the problem, $T:S_3$ can solve the problem. For any event $E$, let $P(E)$ denote the probability of $E$. If $P(U)=\frac{1}{2},P(V)=\frac{1}{10}$ and $P(W)=\frac{1}{12}$, then $P(T)$ is equal to