MathNet 2023-part-07 — 187 problems (EN–VI) Question 81

Let $A$, $E$, $H$, $L$, $T$, and $V$ be chosen independently and at random from the set $\left\{0, \frac{1}{2}, 1\right\}$. Compute the probability that $\lfloor T \cdot H \cdot E\rfloor = L \cdot A \cdot V \cdot A$.